SOLUTION: Substitution: 2x + y = 10 y = 8

SOLUTION: Substitution: 2x + y = 10 y = 8 - x

Question 757790: Substitution:
2x + y = 10
y = 8 - x
Answer by lenny460(1073) (Show Source): You can put this solution on YOUR website!
Substitution:
2x + y = 10
y = 8 - x
Substitute y = 8 - x into equation (1).
2x + y = 10
2x + (8 - x) = 10
2x + 8 - x = 10
2x - x = x
x + 8 = 10
Subtract 8 from each side of the equation.
x + 8 - 8 = 10 - 8
x = 2

Substitue x = 2 into equation (1).
2x + y = 10
2(2) + y = 10
4 + y = 10
Subtract 4 from each side of the equation.
4 + y - 4 = 10 - 4
y = 6

Check:
y = 8 -x
6 = 8 - 2
6 = 6

Answer:
x = 2 and
y = 6

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: lennoxobuong@yahoo.com
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