2. $$ \left\{\begin{array}{l}-3 x+2 y=11 \ -6 x-2 y=-20\end{array} ight. $$

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2. $$ \left\{\begin{array}{l}-3 x+2 y=11 \ -6 x-2 y=-20\end{array}ight. $$

UpStudy AI · Accepted Answer

Solve the system of equations $$ -3x+2y=11;-6x-2y=-20 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}-3x+2y=11\-6x-2y=-20\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}x=\frac{-11+2y}{3}\-6x-2y=-20\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$-6	imes \frac{-11+2y}{3}-2y=-20$$
- step3: Simplify:
  $$22-6y=-20$$
- step4: Move the constant to the right side:
  $$-6y=-20-22$$
- step5: Subtract the numbers:
  $$-6y=-42$$
- step6: Change the signs:
  $$6y=42$$
- step7: Divide both sides:
  $$\frac{6y}{6}=\frac{42}{6}$$
- step8: Divide the numbers:
  $$y=7$$
- step9: Substitute the value of $$y:$$
  $$x=\frac{-11+2	imes 7}{3}$$
- step10: Calculate:
  $$x=1$$
- step11: Calculate:
  $$\left\{ \begin{array}{l}x=1\y=7\end{array}ight.$$
- step12: Check the solution:
  $$\left\{ \begin{array}{l}x=1\y=7\end{array}ight.$$
- step13: Rewrite:
  $$\left(x,yight) = \left(1,7ight)$$
The solution to the system of equations is $$ x = 1 $$ and $$ y = 7 $$.
$$ x = 1 $$ and $$ y = 7 $$.

2. \( \left\{\begin{array}{l}-3 x+2 y=11 \\ -6 x-2 y=-20\end{array}\right. \)

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