Answer:
[tex]y=2,\ z=\frac{3}{5}[/tex]
Step-by-step explanation:
Given the following system of equations:
[tex]\left \{ {{22-4y= 14} \atop {3y + 5z =9}} \right.[/tex]
You can follow these steps to solve it using the Substitutiong method:
1. Solve for "y" from the first equation in order to finds its value:
[tex]22-4y= 14\\\\-4y= 14-22\\\\y=\frac{-8}{-4}\\\\y=2[/tex]
2. Substitute the value for "y" into the second equation and solve for "z" in order to find its value. This is:
[tex]3(2) + 5z =9\\\\5z=9-6\\\\z=\frac{3}{5}[/tex]
