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Solve each system by substitution.y=5x-10 y=3x+81. Both equations are solved for . Substitute the value of in the second equation. =3x+82. Now solve for .3. Substitute the value of in one of the original equations. Solve for .4. Write your answer as an ordered pair .Solution: ( , )

Solve each system by substitution.y=5x-10 y=3x+81. Both equations are solved for . Substitute-example-1
User Kaljak
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1 Answer

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Given:

y=5x-10

y=3x+8

To find the values of x and y using substitution,we substitute y=5x-10 into the second equation (y=3x+8). So,


\begin{gathered} 5x-10=3x+8 \\ \text{Simplify and rearrange} \\ 5x-3x=8+10 \\ 2x=18 \\ x=(18)/(2) \\ \text{Calculate} \\ x=9 \end{gathered}

Next, we substitute the value of x in one of the original equations. We plug in x=9 into y=5x-10:


\begin{gathered} y=5x-10 \\ y=5(9)-10 \\ \text{Simplify} \\ y=45-10 \\ y=35 \end{gathered}

Therefore, the answer in ordered pair is:

(x,y)=(9,35)

User Mmmm
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