Step 1:
Write the two equations
[tex]\begin{gathered} \text{x = 4y} \\ 3x\text{ - 2y = 20} \end{gathered}[/tex]Step 2:
Use substitution method to solve for x and y.
Substitute x = 4y into the second equation
Step 3:
[tex]\begin{gathered} 3x\text{ - 2y = 20} \\ 3(4y)\text{ - 2y = 20} \\ 12y\text{ - 2y = 20} \\ 10y\text{ = 20} \\ \text{y = }\frac{20}{10} \\ y\text{ = 2} \end{gathered}[/tex]Step 4
Solve for x
x = 4y
x = 4(2)
x = 8
Final answer
x = 8 , y = 2