Question

Solve the system of Linear Equations USING substitution method
x = y +4
2x + 2y = 16

Answer 1

x = 8

y = 4

Explanation:

x = y + 4

2x + 2y = 16

Solve the system of equations

Substitution Method

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We know that we need to use the substitution method, since we see that the first equation has x alone, we can substitute it with the x's in the second equation.

x = y + 4

2x + 2y = 16

2(y + 4) + 2y = 16

Distribute :

2y + 8 + 2y = 16

Add like terms :

4y + 8 = 16

Subtract 8 from both sides :

4y = 8

Divide 4 from both sides :

y = 4

Now that y is 4, substitute it into the first equation to get x :

x = (4) + 4

4 + 4

8

x = 8