SAT Math Multiple Choice Question 801: Answer and Explanation
If the ordered pair (x, y) satisfies the system of equations above, what is the value of y?
- A. 0
- B. 7
- C. 10
- D. 11
Correct Answer: D
Category: Heart of Algebra / Systems of Linear Equations
Strategic Advice: When both equations in a system are written in the form y = mx + b, use substitution or graphing to find the solution to the system. Use whichever method gets you to the answer more quickly.
Getting to the Answer: Substitute the first expression for y into the second equation. Then clear the fractions by multiplying everything by 35 to make the numbers easier to work with, and solve for x:
The question asks for the value of y, so substitute 35 into either of the original equations and solve for y:, which is (D).