233k views
4 votes
Consider the following pair of equations:y = -2x + 8y = x - 1Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

1 Answer

3 votes

We have the next system of equations


\begin{gathered} y=-2x+8 \\ y=x-1 \end{gathered}

we will substitute the first equation in the second equation


-2x+8=x-1

then we sum similar terms


\begin{gathered} -2x-x=-1-8 \\ -3x=-9 \\ x=(-9)/(-3) \\ x=3 \end{gathered}

then we substitute the value of x in the second equation

y=3-1

y=2

The solution is (3,2)

User Fiktor
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories