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

No they don't. 2/3=.67, 3/4=.75. 8-.75=7.25. 7.25/.67=10.82.... 87/8=10.88 :) hope this helps

Answer 2

The two equation have the same solutions.

Explanation:

Consider the provided equations.

`(2)/(3)x + (3)/(4) = 8` ......(1)

`8x=87`.......(2)

We need to determine whether or not the two equations below have the same solution.

Solve the first equation.

`(2)/(3)x + (3)/(4) = 8`

Multiply both the sides by 12.

`2x(4) + 3(3)=96`

`8x + 9=96`

`8x=96-9`

`8x=87`

Here we can observe that after simplifying the first equation both the equation becomes the same.

Hence, the two equation have the same solutions.