Solve the system by substitution. $$ \begin{array}{l} ext { Questu } \ 2 x-y=-10 \ 4 y-x=12\end{array} $$ The solution set is $$ \left\{\begin{array}{|} \ ext { (Type an ordered pair.) }\end{array} ight. $$

Question

Solve the system by substitution. $$ \begin{array}{l}	ext { Questu } \ 2 x-y=-10 \ 4 y-x=12\end{array} $$ The solution set is $$ \left\{\begin{array}{|} \ 	ext { (Type an ordered pair.) }\end{array}ight. $$

UpStudy AI · Accepted Answer

Solve the system of equations $$ 2x-y=-10;4y-x=12 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}2x-y=-10\4y-x=12\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}y=10+2x\4y-x=12\end{array}ight.$$
- step2: Substitute the value of $$y:$$
  $$4\left(10+2xight)-x=12$$
- step3: Simplify:
  $$40+7x=12$$
- step4: Move the constant to the right side:
  $$7x=12-40$$
- step5: Subtract the numbers:
  $$7x=-28$$
- step6: Divide both sides:
  $$\frac{7x}{7}=\frac{-28}{7}$$
- step7: Divide the numbers:
  $$x=-4$$
- step8: Substitute the value of $$x:$$
  $$y=10+2\left(-4ight)$$
- step9: Simplify:
  $$y=2$$
- step10: Calculate:
  $$\left\{ \begin{array}{l}x=-4\y=2\end{array}ight.$$
- step11: Check the solution:
  $$\left\{ \begin{array}{l}x=-4\y=2\end{array}ight.$$
- step12: Rewrite:
  $$\left(x,yight) = \left(-4,2ight)$$
The solution set to the system of equations by substitution is $$ (x,y) = (-4,2) $$.
The solution set is $$ (x,y) = (-4,2) $$.

Solve the system by substitution.

The solution set is

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Solve the system by substitution. The solution set is