Solve using substitution. $$ \begin{array}{l}-3 x-9 y=15 \ y=-4\end{array} $$ $$ (\square, \square) $$

Question

UpStudy AI · Accepted Answer

Solve the system of equations $$ -3x-9y=15;y=-4 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}-3x-9y=15\y=-4\end{array}ight.$$
- step1: Substitute the value of $$y:$$
  $$-3x-9\left(-4ight)=15$$
- step2: Multiply the numbers:
  $$-3x+36=15$$
- step3: Move the constant to the right side:
  $$-3x=15-36$$
- step4: Subtract the numbers:
  $$-3x=-21$$
- step5: Change the signs:
  $$3x=21$$
- step6: Divide both sides:
  $$\frac{3x}{3}=\frac{21}{3}$$
- step7: Divide the numbers:
  $$x=7$$
- step8: Calculate:
  $$\left\{ \begin{array}{l}x=7\y=-4\end{array}ight.$$
- step9: Check the solution:
  $$\left\{ \begin{array}{l}x=7\y=-4\end{array}ight.$$
- step10: Rewrite:
  $$\left(x,yight) = \left(7,-4ight)$$
The solution to the system of equations using substitution is $$ (x, y) = (7, -4) $$.
$$ (x, y) = (7, -4) $$

Solve using substitution. \( \begin{array}{l}-3 x-9 y=15 \\ y=-4\end{array} \) \( (\square, \square) \)

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions