### Home > INT1 > Chapter 7 > Lesson 7.1.3 > Problem7-38

7-38.

Solve the systems of equations below.

Read the Math Notes box in Lesson 6.2.3 to review the Substitution Method. Use it to solve both parts.

Read the Math Notes box in Lesson 6.4.1 to review the different types of solutions for systems of equations.

1. $2x + 2y = 18$
$x = 3 − y$

Substitute $(3 − y)$ in for $x$, in the equation $2x + 2y = 18$, so $2(3 − y) + 2y = 18$.

Solve for $y$.

Substitute the value for $y$ into either of the original equations. Solve for $x$.

No Solution because when solving for $y$, the equation shows $6 = 18$ and $6 ≠18$.

1. $c = −b − 11$
$3c + 6 = 6b$