Systems Of Equations Mock Tests

If 3x + 2y = 12 and x = 2, what is the value of y?

If 5x − 2y = 16 and 3x + 2y = 8, what is the value of x?

A school ordered 10 calculators and 20 textbooks for a total of $600. If each textbook costs $20, what is the cost of one calculator?

Which of the following is the x-coordinate of the point where the line y = 2x − 6 intersects the line y = −x + 3?

A company charges a flat fee of $50 plus $15 per hour for a service. Another company charges a flat fee of $20 plus $20 per hour. After how many hours will both companies charge the same amount?

What is the solution to the system of equations 3x + y = 10 and x − y = 2?

If 3x + 2y = 16 and x = 4, what is the value of y?

Two lines in the xy-plane have equations y = 3x + 2 and y = -x + 10. At what point do these two lines intersect?