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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

Solve: 3x+4y=243x + 4y = 24 and 5x−2y=145x - 2y = 14. What is x+yx + y?

  • A

    7

    check_circle
  • B

    9

  • C

    5

  • D

    11

Explanation

Multiply eq2 by 2: 10x−4y=2810x - 4y = 28. Add to eq1: 13x=5213x = 52 → x=4x = 4. Then 4y=24−12=124y = 24 - 12 = 12 → y=3y = 3. So x+y=7x + y = 7.

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