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Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.8x + 7y = 394x - 14y = -68

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Answer:

Solution of the given equation by elimination method is x=0.5 and y=5.

Step-by-step explanation:

8x + 7y = 39 --------------(1)

4x - 14y = -68 ------------(2)

Multiply the equation 2 by -2, then add the equations along.

Equation (2) multiply by -2 :  -8x +28y = 136

8x + 7y = 39 --------------(1)

-8x +28y = 136-----------(2)

Add these equations to eliminate x:

0x+35y=175

35y=175

y=5

Substitute y=5 in 8x+7y=39:

8x+(7)(5) =39

8x+35=39

8x=39-35

8x=4

X=8/4

x=0.5

Solution of the given equation by elimination method is x=0.5 and y=5.

Know more about elimination method: https://brainly.com/question/11764765

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