Question

1/2 x + y = 8 and 2y = x + 14 pls show your work thx

Answer 1

9514 1404 393

Answer:

  (x, y) = (1, 7.5)

Step-by-step explanation:

Solve the first equation for y, then substitute into the second equation.

  y = 8 -1/2x . . . . . subtract 1/2x

  2(8 -1/2x) = x +14

  16 -x = x + 14 . . .eliminate parentheses

  2 = 2x . . . . . . . add x-14

  1 = x . . . . . . . . divide by 2

  y = 8 -1/2(1) = 7 1/2

The solution is (x, y) = (1, 7 1/2).

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Alternate solution

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