Solve the system by the substitution method. -\[\begin{array} { l } 2 y - x = 5 \\ x ^ { 2 } + y ^ { 2 } - 25 = 0 \end{array}\]

A) $\{ ( - 5,0 ) , ( 3,4 ) \}$ B) $\{ ( 5,0 ) , ( - 5,0 ) , ( 3,4 ) \}$ C) $\left\{ \left( 0 , \frac { 5 } { 2 } , \left( 4 , \frac { 9 } { 2 } \right) \right\} \right.$ D) $\left\{ \left( 0 , \frac { 5 } { 2 } \right) , \left( 0 , - \frac { 5 } { 2 } \right) , \left( 4 , \frac { 9 } { 2 } \right) \right\}$ A) $\{ ( - 5,0 ) , ( 3,4 ) \}$ B) $\{ ( 5,0 ) , ( - 5,0 ) , ( 3,4 ) \}$ C) $\left\{ \left( 0 , \frac { 5 } { 2 } , \left( 4 , \frac { 9 } { 2 } \right) \right\} \right.$ D) $\left\{ \left( 0 , \frac { 5 } { 2 } \right) , \left( 0 , - \frac { 5 } { 2 } \right) , \left( 4 , \frac { 9 } { 2 } \right) \right\}$

Solve Nonlinear Systems By Addition Solve the system by the addition method. -\[\begin{array} { l } x ^ { 2 } - 3 y ^ { 2 } = 1 \\ 2 x ^ { 2 } + 3 y ^ { 2 } = 74 \end{array}\]

A) $\{ ( 5,8 ) , ( - 5,8 ) , ( 5 , - 8 ) , ( - 5 , - 8 ) \}$ B) $\{ ( 5,8 ) , ( - 5 , - 8 ) \}$ C) $\{ ( 8,5 ) , ( - 8,5 ) , ( 8 , - 5 ) , ( - 8 , - 5 ) \}$ D) $\{ ( 8,5 ) , ( - 8 , - 5 ) \}$ A) $\{ ( 5,8 ) , ( - 5,8 ) , ( 5 , - 8 ) , ( - 5 , - 8 ) \}$ B) $\{ ( 5,8 ) , ( - 5 , - 8 ) \}$ C) $\{ ( 8,5 ) , ( - 8,5 ) , ( 8 , - 5 ) , ( - 8 , - 5 ) \}$ D) $\{ ( 8,5 ) , ( - 8 , - 5 ) \}$

Solve the system by the substitution method. -\[\begin{array} { l } x y = 56 \\ x + y = - 15 \end{array}\]

A) $\{ ( - 7 , - 8 ) , ( - 8 , - 7 ) \}$ B) $\{ ( 7 , - 8 ) , ( 8 , - 7 ) \}$ C) $\{ ( - 7,8 ) , ( - 8,7 ) \}$ D) $\{ ( 7,8 ) , ( 8,7 ) \}$ A) $\{ ( - 7 , - 8 ) , ( - 8 , - 7 ) \}$ B) $\{ ( 7 , - 8 ) , ( 8 , - 7 ) \}$ C) $\{ ( - 7,8 ) , ( - 8,7 ) \}$ D) $\{ ( 7,8 ) , ( 8,7 ) \}$

Determine if the given ordered triple is a solution of the system. -\[\begin{array} { r } ( - 4,2,3 ) \\ x + 4 y + 5 z = - 9 \\ 4 y + 2 z = 0 \\ z = - 4 \end{array}\]

A) not a solution B) solution A) not a solution B) solution

Solve Nonlinear Systems By Addition Solve the system by the addition method. -\[\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 68 \\ ( x - 9 ) ^ { 2 } + y ^ { 2 } = 113 \end{array}\]

A) $\{ ( 2,8 ) , ( 2 , - 8 ) \}$ B) $\{ ( 2,8 ) , ( 2 , - 8 ) , ( - 2,8 ) , ( - 2 , - 8 ) \}$ C) $\{ ( 8,2 ) , ( 8 , - 2 ) \}$ D) $\{ ( 8,2 ) , ( 8 , - 2 ) , ( - 8,2 ) , ( - 8 , - 2 ) \}$ A) $\{ ( 2,8 ) , ( 2 , - 8 ) \}$ B) $\{ ( 2,8 ) , ( 2 , - 8 ) , ( - 2,8 ) , ( - 2 , - 8 ) \}$ C) $\{ ( 8,2 ) , ( 8 , - 2 ) \}$ D) $\{ ( 8,2 ) , ( 8 , - 2 ) , ( - 8,2 ) , ( - 8 , - 2 ) \}$

Exam 5: Systems of Equations and Inequalities

Solve the problem. -A rectangular lot whose perimeter is 440 feet is fenced along three sides. An expensive fencing along the lot's length costs $23 per foot , and an inexpensive fencing along the two side widths costs only $11 per Foot. The total cost of the fencing along the three sides comes to $4960. What are the lot's dimensions?

(Multiple Choice)

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Question 121

Solve Nonlinear Systems By Addition Solve the system by the addition method. - $x ^ { 3 } + y = 0$ $5 x ^ { 2 } - y = 0$

(Multiple Choice)

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Question 122

Solve the problem. -Two cars leave a city and head in the same direction. After 5 hours, the faster car is 40 miles ahead of the slower car. The slower car has traveled 240 miles. Find the speeds of the two cars.

(Multiple Choice)

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Question 123

Solve the system by the substitution method. - 2y-x=5 +-25=0

(Multiple Choice)

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Question 124

Decompose P/Q, Where Q Has Repeated Linear Factors Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. - $\frac { 2 x + 3 } { ( x + 4 ) ^ { 2 } }$

(Multiple Choice)

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Question 125

Solve Nonlinear Systems By Addition Solve the system by the addition method. - -3=1 2+3=74

(Multiple Choice)

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Question 126

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use the information in the figure to answer the question. -At the break-even point both cost and revenue are what?

(Multiple Choice)

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Question 127

Solve the problem. -Two kinds of crated cargo, A and B, are to be shipped by truck. The weight and volume of each type are given in the following table: The shipping company charges $75 per crate for cargo A and $100 per crate for cargo B. The truck has a Maximum load limit of 7,200 pounds and 1,000 cubic feet. How many of each type of cargo should be Shipped to maximize profit for the shipping company?

(Multiple Choice)

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Question 128

Graph the solution set of the system of inequalities or indicate that the system has no solution. -y < -x + 4 y > 3x - 3

(Multiple Choice)

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Question 129

Solve the problem. -The sum of two numbers is 8. If one number is subtracted from the other, their difference is 2. Find the numbers.

(Multiple Choice)

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Question 130

Solve the system by the substitution method. - xy=56 x+y=-15

(Multiple Choice)

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Question 131

Solve the problem. -One number is 2 less than a second number. Twice the second number is 8 less than 3 times the first. Find the two numbers.

(Multiple Choice)

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Question 132

Solve the problem. -A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 4 bags of potato chips for $6.75. Another customer buys 4 hot dogs and 2 bags of potato chips for $6.50. Find the cost of each Item.

(Multiple Choice)

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Question 133

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 2x+3y\geq6 x-y\leq3 y\leq2 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{r} 2 x+3 y \geq 6 \\ x-y \leq 3 \\ y \leq 2 \end{array}$

(Multiple Choice)

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Question 134

Solve the system by the addition method. - $9 x - 7 y = - 61$ $- 3 x - 2 y = 16$

(Multiple Choice)

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Question 135

Solve the system by the substitution method. - $9 x - y = 13$ $y = x ^ { 2 } + 5$

(Multiple Choice)

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Question 136

Determine if the given ordered triple is a solution of the system. - (-4,2,3) x+4y+5z=-9 4y+2z=0 z=-4

(Multiple Choice)

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Question 137

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. - 2+=7 2=14-4

(Multiple Choice)

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Question 138

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y> 10x+2y\leq20 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} y>x^{2} \\ 10 x+2 y \leq 20 \end{array}$

(Multiple Choice)

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Question 139

Solve Nonlinear Systems By Addition Solve the system by the addition method. - +=68 (x-9+=113

(Multiple Choice)

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Question 140

Showing 121 - 140 of 287

Solve Nonlinear Systems By Addition Solve the system by the addition method. - $x ^ { 3 } + y = 0$ $5 x ^ { 2 } - y = 0$

Solve the problem. -Two cars leave a city and head in the same direction. After 5 hours, the faster car is 40 miles ahead of the slower car. The slower car has traveled 240 miles. Find the speeds of the two cars.

Solve the system by the substitution method. - 2y-x=5 +-25=0

Decompose P/Q, Where Q Has Repeated Linear Factors Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. - $\frac { 2 x + 3 } { ( x + 4 ) ^ { 2 } }$

Solve Nonlinear Systems By Addition Solve the system by the addition method. - -3=1 2+3=74

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use the information in the figure to answer the question. -At the break-even point both cost and revenue are what?

Graph the solution set of the system of inequalities or indicate that the system has no solution. -y < -x + 4 y > 3x - 3

Solve the problem. -The sum of two numbers is 8. If one number is subtracted from the other, their difference is 2. Find the numbers.

Solve the system by the substitution method. - xy=56 x+y=-15

Solve the problem. -One number is 2 less than a second number. Twice the second number is 8 less than 3 times the first. Find the two numbers.

Solve the problem. -A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 4 bags of potato chips for $6.75. Another customer buys 4 hot dogs and 2 bags of potato chips for $6.50. Find the cost of each Item.

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 2x+3y\geq6 x-y\leq3 y\leq2 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{r} 2 x+3 y \geq 6 \\ x-y \leq 3 \\ y \leq 2 \end{array}$

Solve the system by the addition method. - $9 x - 7 y = - 61$ $- 3 x - 2 y = 16$

Solve the system by the substitution method. - $9 x - y = 13$ $y = x ^ { 2 } + 5$

Determine if the given ordered triple is a solution of the system. - (-4,2,3) x+4y+5z=-9 4y+2z=0 z=-4

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. - 2+=7 2=14-4

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y> 10x+2y\leq20 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} y>x^{2} \\ 10 x+2 y \leq 20 \end{array}$

Solve Nonlinear Systems By Addition Solve the system by the addition method. - +=68 (x-9+=113

Equations and Inequalities

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Exam 5: Systems of Equations and Inequalities

Solve Nonlinear Systems By Addition Solve the system by the addition method. - x3+y=0x ^ { 3 } + y = 0x3+y=0 5x2−y=05 x ^ { 2 } - y = 05x2−y=0

Solve the problem. -Two cars leave a city and head in the same direction. After 5 hours, the faster car is 40 miles ahead of the slower car. The slower car has traveled 240 miles. Find the speeds of the two cars.

Solve the system by the substitution method. - 2y-x=5 +-25=0

Decompose P/Q, Where Q Has Repeated Linear Factors Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. - 2x+3(x+4)2\frac { 2 x + 3 } { ( x + 4 ) ^ { 2 } }(x+4)22x+3​

Solve Nonlinear Systems By Addition Solve the system by the addition method. - -3=1 2+3=74

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use the information in the figure to answer the question. -At the break-even point both cost and revenue are what?

Graph the solution set of the system of inequalities or indicate that the system has no solution. -y < -x + 4 y > 3x - 3

Solve the problem. -The sum of two numbers is 8. If one number is subtracted from the other, their difference is 2. Find the numbers.

Solve the system by the substitution method. - xy=56 x+y=-15

Solve the problem. -One number is 2 less than a second number. Twice the second number is 8 less than 3 times the first. Find the two numbers.

Solve the problem. -A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 4 bags of potato chips for $6.75. Another customer buys 4 hot dogs and 2 bags of potato chips for $6.50. Find the cost of each Item.

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 2x+3y\geq6 x-y\leq3 y\leq2

Solve the system by the addition method. - 9x−7y=−619 x - 7 y = - 619x−7y=−61 −3x−2y=16- 3 x - 2 y = 16−3x−2y=16

Solve the system by the substitution method. - 9x−y=139 x - y = 139x−y=13 y=x2+5y = x ^ { 2 } + 5y=x2+5

Determine if the given ordered triple is a solution of the system. - (-4,2,3) x+4y+5z=-9 4y+2z=0 z=-4

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. - 2+=7 2=14-4

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y> 10x+2y\leq20

Solve Nonlinear Systems By Addition Solve the system by the addition method. - +=68 (x-9+=113

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Matrices and Determinants

Conic Sections

Sequences, Induction, and Probability

Filters

Solve Nonlinear Systems By Addition Solve the system by the addition method. - $x ^ { 3 } + y = 0$ $5 x ^ { 2 } - y = 0$

Decompose P/Q, Where Q Has Repeated Linear Factors Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. - $\frac { 2 x + 3 } { ( x + 4 ) ^ { 2 } }$

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 2x+3y\geq6 x-y\leq3 y\leq2 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{r} 2 x+3 y \geq 6 \\ x-y \leq 3 \\ y \leq 2 \end{array}$

Solve the system by the addition method. - $9 x - 7 y = - 61$ $- 3 x - 2 y = 16$

Solve the system by the substitution method. - $9 x - y = 13$ $y = x ^ { 2 } + 5$

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y> 10x+2y\leq20 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} y>x^{2} \\ 10 x+2 y \leq 20 \end{array}$