PSAT Math Grid-Ins Question 34: Answer and Explanation

Question: 34

5x - 3y = 7

2x + y = 5

If (x, y) is the solution to the system of equations above, what is the value of y?

Correct Answer: 1

Explanation:

1

The question asks for the value of y in a system of equations, so solve the system for y. Look to eliminate the x terms by making the coefficients on x in the two equations the same but with opposite signs. Multiply the first equation by 2 to get 10x - 6y = 14, and multiply the second equation by -5 to get -10x - 5y = -25. Stack and add the equations.

img src="https://img.crackpsat.net/psat/pr/Page_111_Image_0004.jpg" />

Divide both sides by -11 to get y = 1. The correct answer is 1.

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