Solve the system by substitution. $$ \begin{aligned} x & =9 y \ x-5 y & =20\end{aligned} $$

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Solve the system of equations $$ x-5y=20;x=9y $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}x-5y=20\x=9y\end{array}ight.$$
- step1: Substitute the value of $$x:$$
  $$9y-5y=20$$
- step2: Simplify:
  $$4y=20$$
- step3: Divide both sides:
  $$\frac{4y}{4}=\frac{20}{4}$$
- step4: Divide the numbers:
  $$y=5$$
- step5: Substitute the value of $$y:$$
  $$x=9	imes 5$$
- step6: Simplify:
  $$x=45$$
- step7: Calculate:
  $$\left\{ \begin{array}{l}x=45\y=5\end{array}ight.$$
- step8: Check the solution:
  $$\left\{ \begin{array}{l}x=45\y=5\end{array}ight.$$
- step9: Rewrite:
  $$\left(x,yight) = \left(45,5ight)$$
The solution to the system of equations by substitution is $$ (x,y) = (45,5) $$.
$$ (x,y) = (45,5) $$

Solve the system by substitution.

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