Solve the system by substitution. $$ \begin{aligned}-10 x+2 y & =-32 \ 9 x & =y\end{aligned} $$

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Solve the system of equations $$ -10x+2y=-32;9x=y $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}-10x+2y=-32\9x=y\end{array}ight.$$
- step1: Rewrite the expression:
  $$\left\{ \begin{array}{l}-10x+2y=-32\y=9x\end{array}ight.$$
- step2: Substitute the value of $$y:$$
  $$-10x+2	imes 9x=-32$$
- step3: Simplify:
  $$8x=-32$$
- step4: Divide both sides:
  $$\frac{8x}{8}=\frac{-32}{8}$$
- step5: Divide the numbers:
  $$x=-4$$
- step6: Substitute the value of $$x:$$
  $$y=9\left(-4ight)$$
- step7: Simplify:
  $$y=-36$$
- step8: Calculate:
  $$\left\{ \begin{array}{l}x=-4\y=-36\end{array}ight.$$
- step9: Check the solution:
  $$\left\{ \begin{array}{l}x=-4\y=-36\end{array}ight.$$
- step10: Rewrite:
  $$\left(x,yight) = \left(-4,-36ight)$$
The solution to the system of equations by substitution is $$ (x, y) = (-4, -36) $$.
The solution is $$ x = -4 $$ and $$ y = -36 $$.

Solve the system by substitution.

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