CPM Homework Help : CCA2 Problem 9-26

Solve this system for $y$ and $z$ :

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

Hint:

Simplify the equations before solving.

Step 1:

Multiply both sides by $4$ .

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

Step 2:

Simplify.

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

Step 3:

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

Step 4:

$3z+y=12$

More Help:

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