Utilizar la sustitución para resolver el sistema. $$ \begin{array}{c}5 x+2 y=5 \ x=3 y+18\end{array} $$ $$ \begin{array}{l}x=\square\end{array} $$

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Solve the system of equations $$ 5x+2y=5;x=3y+18 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}5x+2y=5\x=3y+18\end{array}ight.$$
- step1: Substitute the value of $$x:$$
  $$5\left(3y+18ight)+2y=5$$
- step2: Simplify:
  $$17y+90=5$$
- step3: Move the constant to the right side:
  $$17y=5-90$$
- step4: Subtract the numbers:
  $$17y=-85$$
- step5: Divide both sides:
  $$\frac{17y}{17}=\frac{-85}{17}$$
- step6: Divide the numbers:
  $$y=-5$$
- step7: Substitute the value of $$y:$$
  $$x=3\left(-5ight)+18$$
- step8: Calculate:
  $$x=3$$
- step9: Calculate:
  $$\left\{ \begin{array}{l}x=3\y=-5\end{array}ight.$$
- step10: Check the solution:
  $$\left\{ \begin{array}{l}x=3\y=-5\end{array}ight.$$
- step11: Rewrite:
  $$\left(x,yight) = \left(3,-5ight)$$
La solución del sistema de ecuaciones es $$ x = 3 $$ y $$ y = -5 $$. Por lo tanto, $$ x = \boxed{3} $$.
$$ x = 3 $$

Utilizar la sustitución para resolver el sistema.

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