Question

Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationale

2/3x + 3/4 = 8
8x=87

Answer 1

If the two equation have the same solution, the x value of each will be equal. So we solve each equation for x and see if they are equal...

2x/3+3/4=8

(8x+9)/12=8

8x+9=96

8x=87

x=87/8

And the other equation was:

8x=87 so

x=87/8

Since x=x the equations do have a solution

Answer 2

These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match.

Hope this helps!