Solve the system of linear equations by ELIMINATION. Check your solution 6x−2y=1010x−y=−2

The solution is (-1,-8)

Step-by-step explanation:

Equation 1 :6x−2y=10

Equation 2 : 10x−y=−2

Multiply equation 1 by 1 and Equation 2 by 2

So, Equation 1 will be : 6x-2y=10

So, Equation 2 will be : 20x-2y=-4

Subtract 1 from 2

So, 20x-2y-6x+2y=-4-10

14x=-14

x=-1

Substitute the value of x in 1

So,6(-1)-2y=10

-6-2y=10

-16=2y

-8=y

Check solution:

Substitute the values in equation 1 :

6x−2y=10

6(-1)-2(-8)=10

-6+16=10

10=10

Hence Verified

So, The solution is (-1,-8)

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