What is the solution to the system of equations? $$ \left\{\begin{array}{l}6 x-4 y=12 \ -3 x+2 y=-6\end{array} ight. $$

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What is the solution to the system of equations? $$ \left\{\begin{array}{l}6 x-4 y=12 \ -3 x+2 y=-6\end{array}ight. $$

UpStudy AI · Accepted Answer

Solve the system of equations $$ 6x-4y=12;-3x+2y=-6 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}6x-4y=12\-3x+2y=-6\end{array}ight.$$
- step1: Rearrange the terms:
  $$6x-4y=12$$
- step2: Move the expression to the right side:
  $$6x=12+4y$$
- step3: Divide both sides:
  $$\frac{6x}{6}=\frac{12+4y}{6}$$
- step4: Divide the numbers:
  $$x=\frac{6+2y}{3}$$
- step5: Calculate:
  $$\left(x,yight) = \left(\frac{6+2y}{3},yight),y \in \mathbb{R}$$
- step6: Alternative Form:
  $$	extrm{Infinitely many solutions}$$
The system of equations $$ \left\{\begin{array}{l}6 x-4 y=12 \ -3 x+2 y=-6\end{array}ight. $$ has infinitely many solutions.
The system of equations has infinitely many solutions.

What is the solution to the system of equations? \( \left\{\begin{array}{l}6 x-4 y=12 \\ -3 x+2 y=-6\end{array}\right. \)

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