Exam 4: Systems of Equations and Inequalities

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Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state. - y=75x85y = - \frac { 7 } { 5 } x - \frac { 8 } { 5 } y=79x209y = - \frac { 7 } { 9 } x - \frac { 20 } { 9 }

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Solve the problem. -A student is asked to construct a triangle that satisfies the following criteria. The sum of the first and second angles is 90° more than the measure of the third angle. If the measure of the third angle is subtracted from the Measure of the second angle, the result is twice the measure of the first angle. Find the measure of each angle of The triangle.

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Determine the solution to the system of inequalities. - y\geq3x+1 x+y\leq1  Determine the solution to the system of inequalities. - \begin{array} { l }  y \geq 3 x + 1 \\ x + y \leq 1 \end{array}

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Solve the system of equations using determinants. - 3x+3y=45 2x-3y=-15

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Solve the problem. -The Little Town Fine Arts Center charges $25 per adult and $13 per senior citizen for its performances. On a recent weekend evening when 469 people paid admission, the total receipts were $7345. How many who paid Were senior citizens?

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Solve the system of equations using determinants. - 4x+y=15 12x+3y=45

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Write the word or phrase that best completes each statement or answers the question. Solve for the given letter. - x41220128=10\left| \begin{array} { r r r } x & - 4 & - 1 \\- 2 & 2 & 0 \\- 1 & - 2 & 8\end{array} \right| = 10

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Determine whether the ordered pair or ordered triple satisfies the system of linear equations. - y=-3x+14 y=-x+ (4,2)

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Solve the system of equations using the addition method. - 5x+6y=-7 -5x-13y=21

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Solve the system using matrices. - x+7y=51 -4x+6y=0

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Solve the system of equations using the addition method. - 3x+y=0 2x+y=13

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Evaluate the determinant. - 522201501\left| \begin{array} { r r r } - 5 & - 2 & - 2 \\2 & 0 & - 1 \\- 5 & 0 & - 1\end{array} \right|

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Solve the system using determinants. - -2x-8z=-54 -8x+5y+4z=40 -5x-6y=-63

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Solve the system using determinants. - -3x-8y+8z=55 -3x+4y-2z=-23 7x-2y-2z=1

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Determine the solution to the system of inequalities. - y\leq4x+4 x+y\geq2  Determine the solution to the system of inequalities. - \begin{array} { l }  y \leq 4 x + 4 \\ x + y \geq 2 \end{array}

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Solve the system of equations using the addition method. - x+y=0 x-y=2

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