Solve the given system of equations 2x + 8y= 5 and 24x - 4y = -15

9514 1404 393

  (x, y) = (-1/2, 3/4)

Step-by-step explanation:

A graphing calculator does a nice job of finding the solution.

  (x, y) = (-1/2, 3/4)

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You can eliminate y by adding twice the second equation to the first.

  (2x +8y) +2(24x -4y) = (5) +2(-15)

  50x = -25

  x = -1/2 . . . . . . divide by 50

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  24(-1/2) -4y = -15 . . . . .substitute for x in the second equation

  -4y = -3 . . . . . . . . . add 12

  y = 3/4 . . . . . . . . . divide by the coefficient of y

The solution is (x, y) = (-1/2, 3/4).

the answer is 8/21

hope this