Use the substitution method to solve the system of equations. choose the correct ordered pair. x+y=10 y=x-6

Solution ( 8 , 2) .

Step-by-step explanation:

Given : x+y=10 and  y=x-6.

To find : Use the substitution method to solve the system of equations.

Solution : We have given

x+y=10(1)

y=x-6 (2)

Substitute the equation 2 in equation 1 .

x + x -6 = 10 .

2x - 6 = 10

On adding both sides by 6

2x = 10 + 6.

2x = 16.

On dividing both sides by 2

x = 8.

On plugging x = 8 in equation 1

8 + y = 10 .

On subtracting both sides by 8

y = 10 -8

y = 2 .

Pair ( 8 , 2) .

Therefore, Solution ( 8 , 2) .

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