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Solve each system by elimination
5x-6y=6
-5x+4y=-14

1 Answer

5 votes

Answer:

Explanation:

the good part about this one is if u look, u can see that u have a positive 5x and a negative 5x....when added, these will cancel out....so u dont have to multiply ur equations by anything, u just have to add them

5x - 6y = 6

-5x + 4y = -14

---------------------add

-2y = - 8

y = -8/-2

y = 4

now sub 4 in for y in either of the original equations

5x - 6y = 6

5x - 6(4) = 6

5x - 24 = 6

5x = 6 + 24

5x = 30

x = 30/5

x = 6

lets check it...

-5x + 4y = -14

-5(6) + 4(4) = -14

-30 + 16 = -14

-14 = -14 (correct)

so it checks out.....x = 6 and y = 4 or (6,4) <===

User Roland Kuhn
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