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4x+2y=24,3x-4y=7.To find the elimination method

User Shengy
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Answer:

(x, y) = (5, 2)

Explanation:

You want to use the elimination method to solve these equations:

  • 4x +2y = 24
  • 3x -4y = 7

Elimination method

To solve the equations by the elimination method you want to combine them in such a way that the coefficient of one of the variables is zero.

The coefficients of x are 4 and 3, so we can eliminate the x variable by multiplying the first equation by 3 and the second equation by -4 before we combine (add) them.

The coefficients of y are 2 and -4, so we can eliminate the y variable by multiplying the first equation by 2 before we combine (add) them. This seems simpler.

2(4x +2y) +(3x -4y) = 2(24) +(7)

11x = 55 . . . . . . . . simplify

x = 5 . . . . . . . . divide by 11

4(5) +2y = 24 . . . . . . substitute for x in the first equation

2y = 24 -20 . . . . . subtract 20

y = 2 . . . . . . . . divide by 2

The solution is (x, y) = (5, 2).

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User Richard Kamere
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