Resolver el siguiente sistema de ecuaciones. $$ \begin{array}{l}-6 x-7 y=5 \ 8 x+9 y=-9\end{array} $$

Question

UpStudy AI · Accepted Answer

Solve the system of equations $$ -6x-7y=5;8x+9y=-9 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}-6x-7y=5\8x+9y=-9\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}x=-\frac{5+7y}{6}\8x+9y=-9\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$8\left(-\frac{5+7y}{6}ight)+9y=-9$$
- step3: Multiply the terms:
  $$-\frac{4\left(5+7yight)}{3}+9y=-9$$
- step4: Multiply both sides of the equation by LCD:
  $$\left(-\frac{4\left(5+7yight)}{3}+9yight)	imes 3=-9	imes 3$$
- step5: Simplify the equation:
  $$-20-y=-27$$
- step6: Move the constant to the right side:
  $$-y=-27+20$$
- step7: Add the numbers:
  $$-y=-7$$
- step8: Change the signs:
  $$y=7$$
- step9: Substitute the value of $$y:$$
  $$x=-\frac{5+7	imes 7}{6}$$
- step10: Calculate:
  $$x=-9$$
- step11: Calculate:
  $$\left\{ \begin{array}{l}x=-9\y=7\end{array}ight.$$
- step12: Check the solution:
  $$\left\{ \begin{array}{l}x=-9\y=7\end{array}ight.$$
- step13: Rewrite:
  $$\left(x,yight) = \left(-9,7ight)$$
La solución del sistema de ecuaciones es $$ (x,y) = (-9,7) $$.
La solución es $$ x = -9 $$ y $$ y = 7 $$.

Resolver el siguiente sistema de ecuaciones.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Algebra Questions