### Home > CCA2 > Chapter 9 > Lesson 9.1.2 > Problem9-26

9-26.

Solve this system for y and z:

$\left. \begin{array} { r } { \frac { z + y } { 2 } + \frac { z - y } { 4 } = 3 } \\ { \frac { 4 z - y } { 2 } + \frac { 5 z + 2 y } { 11 } = 3 } \end{array} \right.$

Simplify the equations before solving.

Multiply both sides by $4$.

$4\left( \frac{z+y}{2}+\frac{z-y}{4} \right) =4\cdot3$

Simplify.

$2(z+y)+z-y =12$

$2z+2y+z-y =12$

$3z+y=12$

Now do the same for the $2$nd equation. But multiply both sides by $22$. When both equations are simplified, solve for $z$ and $y$.