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

User Cleek
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1 Answer

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Answer:

(x, y) = (-1/2, 3/4)

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).

Solve the given system of equations 2x + 8y= 5 and 24x - 4y = -15-example-1
User Flalar
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