Solve by the substitution method. (If there is no solution, enter NO SOLUTION. Use the parameters $$ x $$ and $$ y $$ as necessary.) $$ \begin{aligned} 2 x-3 y=4 \ x=5 y+2\end{aligned} $$ $$ (x, y)=( $$

Question

UpStudy AI · Accepted Answer

Solve the system of equations $$ 2x-3y=4;x=5y+2 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}2x-3y=4\x=5y+2\end{array}ight.$$
- step1: Substitute the value of $$x:$$
  $$2\left(5y+2ight)-3y=4$$
- step2: Simplify:
  $$7y+4=4$$
- step3: Move the constant to the right side:
  $$7y=4-4$$
- step4: Subtract the terms:
  $$7y=0$$
- step5: Rewrite the expression:
  $$y=0$$
- step6: Substitute the value of $$y:$$
  $$x=5	imes 0+2$$
- step7: Simplify:
  $$x=2$$
- step8: Calculate:
  $$\left\{ \begin{array}{l}x=2\y=0\end{array}ight.$$
- step9: Check the solution:
  $$\left\{ \begin{array}{l}x=2\y=0\end{array}ight.$$
- step10: Rewrite:
  $$\left(x,yight) = \left(2,0ight)$$
The solution to the system of equations by the substitution method is $$ (x, y) = (2, 0) $$.
$$ (x, y) = (2, 0) $$.

Solve by the substitution method. (If there is no solution, enter NO SOLUTION. Use the parameters and as necessary.)

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Algebra Questions