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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 3/5

Two lines y=3x−2y = 3x - 2 and y=−2x+8y = -2x + 8 intersect at point (a,b)(a, b). What is a+ba + b?

  • A

    8

  • B

    6

  • C

    5

  • D

    7

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Explanation

3x−2=−2x+83x - 2 = -2x + 8 → 5x=105x = 10 → x=2x = 2, y=4y = 4. So a+b=6a + b = 6. Wait, 2+4=62 + 4 = 6. Answer index 1.

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