Practice Quiz

SAT Math

Category - Algebra and Functions

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Look at the graph below.
Which of the following is the solution of the system of linear equations?
− 4x + y − 10 = 0
− x − 5y − 13 = 0
  1. x = −2,y = −2
  2. x = 2,y = 6
  3. x = 3,y = 1
  4. x = 2,y = − 3
  5. x = − 3,y = − 2
Explanation
Answer: E - The solution of the system of linear equations is x = −3,y = −2. A system of linear equations can be solved using a graph. Each equation is represented by the line in the coordinate system. The solution of the system of linear equations is the intersection point of two lines. In this case, it is point E whose coordinates x = − 3,y = − 2 are the solutions of the system of linear equations.
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