Solve using the Elimination Method
5x + y = 4
6x - y = 7

x=1,y=-1

Step-by-step explanation:

To use the elimination method, we make the coefficient of y the same:

But they are already the same just with different signs.

So we add the 2 equations to make equation 3:

5x + y = 4

+    +   =  +

6x - y = 7

11x = 11

Solve for x:

x = 1

Substitute the value of x into either equation 1 or 2 to find y:

I chose 1:

5(1)+y=4

5+y=4

y=4-5

y=-1

Our answer is x=1,y=-1

Substituting these values into equation 2 verifies our answer

72 is the answer to this problem

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