Systems Of Equations Mock Tests

The sum of two numbers is 20 and their difference is 6. What is the larger number?

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

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

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

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?

If 2x + 3y = 12 and x - y = 1, what is the value of x?

Two lines are given by y = 2x + 3 and y = −3x + 18. At what point do these lines intersect?

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