Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 3/5

What is the yy-coordinate of the intersection of 5x+2y=195x + 2y = 19 and 3xy=73x - y = 7?

  • A

    2

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  • B

    3

  • C

    4

  • D

    1

Explanation

From eq2: y=3x7y = 3x - 7. Sub: 5x+6x14=195x + 6x - 14 = 1911x=3311x = 33x=3x = 3, y=2y = 2.

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