System of equations

What is the value of y in the solution to this system of equations?

6y + x = -59

x = -2y + 9

• 8.5

• -17

• 43

• -12.5

What is the value of x in the solution to this system of equations?

3x - 5y = 22

y = -5x + 32

• -6.5

• 0.5

• 6.5

• -0.5

What is the x-value of the solution to this system of equations?

x = 2y - 4

7x + 5y = -66

• -2

• -8

A college student completed some courses worth 3 credits and some worth 4 credits. The student earned a total of 59 credits after completing 18 courses.

How many courses worth 3 credits did the student complete?

• 13

• 5

• 20

• 39

A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.

* On Monday, the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.

* On Tuesday, the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.

What is the length of the Green Route in miles?

• 4.4 miles

• 4.5 miles

• 6.4 miles

• 6.8 miles

Which graph represents this system of equations and its solutions?

8x - 4y = -16

3x + 15y = -6

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What graph best represents a system of equations that has no solutions?

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