Answer:
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) .
