Exam 4: Linear Systems

Solve the system of equations: 2x + 8y = -18 2x - 4y = 10

Solve graphically: 4y = -5x and x = -6

Solve the system of equations: 4x + 3y = 36 2x + 9y = -18

Solve the system of equations: 2x + 6y = -12 2x - 5y = 10

Graph: y = -6

The difference between seven times the first number and three times the second number is 12. The sum of three-fourths of the first number and two-thirds of the second number is 21. Find the two numbers.

Find the slope and y-intercept: 4 - y = 2x

A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of an orchestra seat is $60.00 and the cost of a balcony seat is $45.00. If all 400 seats are sold the theatre would collect $22 500.00. How many of each type of seat is available?

Graph: 3x + 4y = 12

Graph: x = 5y

Find the slope of the line: 2y = 5(x + 2)

Find the slope and y-intercept: 4.5x + 9y = 81

Solve graphically: x = y, 2y = x - 200

A bakery has been baking 4000 donuts a day for distribution. The second shift has produced 1000 donuts fewer than two-thirds of the number of donuts produced by the first shift. Determine the number of donuts each shift has produced.

Solve graphically: 2x = -5y and 3x + y = 9

Bonny and Clyde divide a profit of $15 700. If Clyde is to receive $4200 more than one-fifths of Bonny's share, how much will Bonny receive?

It takes a snowboarder 46 minutes to descend from an elevation of 9200 meters to an elevation of 4508 meters. What is the rate of descent (slope) per minute?

Solve the system of equations: + = + =

Solve the system of equations: 6x + 5y = 30 4x - 3y = 24

Solve graphically: 5x - 2y = 10 and y = 5