Solve the system of equations using substitution.

Ask by Warner Elliott. in the United States

Nov 26,2024

Question

Solve the system of equations using substitution. $$ \begin{aligned} 5 x+y & =7 \ y & =2 x\end{aligned} $$

UpStudy AI · Accepted Answer

Solve the system of equations $$ 5x+y=7;y=2x $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}5x+y=7\y=2x\end{array}ight.$$
- step1: Substitute the value of $$y:$$
  $$5x+2x=7$$
- step2: Simplify:
  $$7x=7$$
- step3: Divide both sides:
  $$\frac{7x}{7}=\frac{7}{7}$$
- step4: Divide the numbers:
  $$x=1$$
- step5: Substitute the value of $$x:$$
  $$y=2	imes 1$$
- step6: Simplify:
  $$y=2$$
- step7: Calculate:
  $$\left\{ \begin{array}{l}x=1\y=2\end{array}ight.$$
- step8: Check the solution:
  $$\left\{ \begin{array}{l}x=1\y=2\end{array}ight.$$
- step9: Rewrite:
  $$\left(x,yight) = \left(1,2ight)$$
The solution to the system of equations using substitution is $$ (x,y) = (1,2) $$.
The solution is $$ (x,y) = (1,2) $$.

Solve the system of equations using substitution.

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