Question

Suppose you substitute your solution for x into 2 x+5=x-1. What should be true of both sides ofthe equation once they are simplified?

Answer 1

• Both sides of the equation will be equal to -7.

,

• Why: That is the value of y at the point of intersection.

Step-by-step explanation:

Given the equation

`2x+5=x-1`

Collecting like terms, we have:

`\begin{gathered} 2x-x=-1-5 \\ x=-6 \end{gathered}`

When x=-6

`\begin{gathered} 2x+5=2(-6)+5=-12+5=-7 \\ x-1=-6-1=-7 \end{gathered}`

• Both sides of the equation will be equal to -7.

,

• Why: That is the value of y at the point of intersection.