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

Respuesta :

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:

The two equation have the same solutions.

Step-by-step explanation:

Consider the provided equations.

[tex]\frac{2}{3}x + \frac{3}{4} = 8[/tex] ......(1)

[tex]8x=87[/tex].......(2)

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

Solve the first equation.

[tex]\frac{2}{3}x + \frac{3}{4} = 8[/tex]

Multiply both the sides by 12.

[tex]2x(4) + 3(3)=96 [/tex]

[tex]8x + 9=96 [/tex]

[tex]8x=96-9 [/tex]

[tex]8x=87 [/tex]

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

Hence, the two equation have the same solutions.

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