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Where does the line with the equation x – 2y = 4 intersect with the line with the equation 6y + 5x = 4?

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Question:

A
(2, -1)

explanation

Isolate x in the first equation. x = 2y + 4. Then, substitute into the second equation to find a value for y.

6y + 5(2y + 4) = 4

16y + 20 = 4

y = −1

Finally, use that value of y in the first equation to find a value for x.

x = 2(−1) + 4 = 2

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