Question

Is – 7 a solution to the equation 8 open parentheses 1 fourth x space plus space 3 over 4 close parentheses space minus space 3 equals 17

Answer 1

8(1/4x+3/4)-3=17
Distribute
8/4x+24/4-3=17
Simplify the fractions
2x+6-3=17
Add 6, subtract 3 from both sides
2x=14
Divide both sides by 2
X=7

I hope I had interpreted the equation correctly if not tell me and I’ll resolve it :)

Answer 2

Answer:
-7 is not a solution to the given equation

Step-by-step explanation:
The equation given is:

`8( (1)/(4) x + (3)/(4) ) - 3 = 17`

To know whether -7 is a solution of the given equation or not, we will substitute with x = -7 in the equation and compute the result:
1- if the result is equal to 17 ......> then -7 would be a solution to the equation
2- if the result is not equal to 17 .> then -7 wouldn't be a solution

This is shown as follows:

`8( (1)/(4) (-7) + (3)/(4) ) - 3 = 17`

= 8(-1) - 3
= - 8 - 3
= -11

This is not equal to 17, therefore, -7 is not a solution to the given equation.

Hope this helps :)