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5 votes
5 votes
Solve using substitution. I know that the answer is (1,1), but I have to show my work and I forgot how to do it.

Solve using substitution. I know that the answer is (1,1), but I have to show my work-example-1
User Dmitri Trofimov
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2.9k points

1 Answer

19 votes
19 votes

If y = -x + 2, then substituting this into the first equation lets you solve for x :

x + 4y = 5

x + 4 (-x + 2) = 5

x - 4x + 8 = 5

-3x = -3

x = 1

Now solve for y :

y = -x + 2 = -1 + 2 = 1

So the solution is indeed (x, y ) = (1, 1).

User Eddy Freeman
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