Solve the following system of equations using the elimination method. 5x – 5y = 10 6x – 4y = 4

x=-2,y=-4

Step-by-step explanation:

By dividing to lowest terms

5x – 5y = 10= x-y=2(1)

6x – 4y = 4=3x-2y=2(2)

By elimination method

Multiply equation (1) by 3 so as to correspond with equation (2)

3(x-y)=3(2)

3x-3y=6(3)

Multiply equation (2) by 1 so as to correspond with equation (1)

1(3x-2y)=1(2)

3x-2y=2(4)

Then equation (3)-equation (4)

(3x-3y=6)

-

(3x-2y=2)

-y=4

y=-4

Substitute y=-4 into equation(1)

x-(-4)=2

x+4=2

x=-2

Therefore x=-2,y=-4

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