You will probably encounter some questions on the SAT Math exam that deal with systems of equations. In the following practice questions, you're given the system of equations, and you have to find the value of the variables x and y.
Practice questions
Based on this system of equations, what is the value of
7x + 3y = 4
3x + 2y = 2
Based on this system of equations, what is the value of x + y?
Answers and explanations
The correct answer is 1.
You don't need separate values of x or y, so don't bother substituting. Simply subtract the equations and divide by 2:
The correct answer is 6.
Subtract the equations:
A common denominator works, but you could also multiply everything by 6:
Ron Woldoff, MBA, is the founder of National Test Prep, where he helps students achieve their goals on the SAT, GMAT®, and GRE®. He teaches prep courses at Arizona and is the author of several test-prep books.