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:
• Both sides of the equation will be equal to -7.
,• Why: That is the value of y at the point of intersection.
Explanation:
Given the equation
[tex]2x+5=x-1[/tex]Collecting like terms, we have:
[tex]\begin{gathered} 2x-x=-1-5 \\ x=-6 \end{gathered}[/tex]When x=-6
[tex]\begin{gathered} 2x+5=2(-6)+5=-12+5=-7 \\ x-1=-6-1=-7 \end{gathered}[/tex]• Both sides of the equation will be equal to -7.
,• Why: That is the value of y at the point of intersection.