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Eliminate the y in the following system of equations. What is the result when you add the two equations?
x + y = 8 \\ 5x - 3y = 24A: 6x = 32B: 8x = 32 C: x = 0D: 8x = 48

1 Answer

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Step-by-step explanation

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

5x - 3y = 24 ------------------------------------------(2)

If we are to eliminate y in the equations, we first need to multiply through equation (1) by 3.

3x + 3y = 24 ----------------------------------------(3)

Add equation (2) and equation (3).

If we add equation(1) and equation(3) together, -3y will cancel-out 3y.

(5x + 3x) = (24 + 24)

8x = 48

Therefore, the correct option is D. 8x = 48

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