Find the solution to the system of equations.
You can use the interactive graph below to find the solution.

Ask by Cervantes Bradley. in the United States

Jan 10,2025

Question

Find the solution to the system of equations. You can use the interactive graph below to find the solution. $$ \left\{\begin{array}{l}-2 x+2 y=-4 \ 3 x+3 y=-18\end{array}ight. $$ $$ x=\square $$

UpStudy AI · Accepted Answer

Solve the system of equations $$ -2x+2y=-4;3x+3y=-18 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}-2x+2y=-4\3x+3y=-18\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}x=2+y\3x+3y=-18\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$3\left(2+yight)+3y=-18$$
- step3: Simplify:
  $$6+6y=-18$$
- step4: Move the constant to the right side:
  $$6y=-18-6$$
- step5: Subtract the numbers:
  $$6y=-24$$
- step6: Divide both sides:
  $$\frac{6y}{6}=\frac{-24}{6}$$
- step7: Divide the numbers:
  $$y=-4$$
- step8: Substitute the value of $$y:$$
  $$x=2-4$$
- step9: Simplify:
  $$x=-2$$
- step10: Calculate:
  $$\left\{ \begin{array}{l}x=-2\y=-4\end{array}ight.$$
- step11: Check the solution:
  $$\left\{ \begin{array}{l}x=-2\y=-4\end{array}ight.$$
- step12: Rewrite:
  $$\left(x,yight) = \left(-2,-4ight)$$
The solution to the system of equations is $$ x = -2 $$ and $$ y = -4 $$.
$$ x = -2 $$

Find the solution to the system of equations.
You can use the interactive graph below to find the solution.

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions