Question

3x+5y=-3 x-5y=-5 show your work

Answer 1

We are given the equations 3x+5y=-3 and x-5y=-5.

Both equations have a 5y  term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.

3x + 5y = -3
+x - 5y = -5
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4x + 0y = -8

The y terms cancel out since one is positive and one is negative. Now we can solve for x.

4x = -8

$\frac{4x}{(4)} = \frac{-8}{(4)}$

x = -2

Now plug -2 in for x in one of the original equations to find y.

(-2) - 5y = -5

-5y = -3

y = 3/5

Our answer as an ordered pair is (2, 3/5)