Resolver el siguiente sistema. $$ \begin{array}{r}y=5 \ -3 x+5 y+4 z=-7 \ -5 x+6 y=10\end{array} $$

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Solve the system of equations $$ y=5;-3x+5y+4z=-7;-5x+6y=10 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}y=5\-3x+5y+4z=-7\-5x+6y=10\end{array}ight.$$
- step1: Substitute the value of $$y:$$
  $$\left\{ \begin{array}{l}-3x+5	imes 5+4z=-7\-5x+6	imes 5=10\end{array}ight.$$
- step2: Simplify:
  $$\left\{ \begin{array}{l}-3x+25+4z=-7\-5x+30=10\end{array}ight.$$
- step3: Solve the equation:
  $$\left\{ \begin{array}{l}-3x+25+4z=-7\x=4\end{array}ight.$$
- step4: Substitute the value of $$x:$$
  $$-3	imes 4+25+4z=-7$$
- step5: Simplify:
  $$13+4z=-7$$
- step6: Move the constant to the right side:
  $$4z=-7-13$$
- step7: Subtract the numbers:
  $$4z=-20$$
- step8: Divide both sides:
  $$\frac{4z}{4}=\frac{-20}{4}$$
- step9: Divide the numbers:
  $$z=-5$$
- step10: Calculate:
  $$\left\{ \begin{array}{l}x=4\y=5\z=-5\end{array}ight.$$
- step11: Check the solution:
  $$\left\{ \begin{array}{l}x=4\y=5\z=-5\end{array}ight.$$
- step12: Rewrite:
  $$\left(x,y,zight) = \left(4,5,-5ight)$$
La solución del sistema de ecuaciones es $$ (x,y,z) = (4,5,-5) $$.
La solución es $$ x=4 $$, $$ y=5 $$, $$ z=-5 $$.

Resolver el siguiente sistema.

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