Question

NO LINKS!! URGENT HELP PLEASE!!

For what value of c is the number "a" a solution of the equation? (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)

4x + 1 + 7c = 8c - 3x + 6; a = -5

c = ________

Answer 1

`c=-40`

Explanation:

Since a is a Solution to the Equation , then it satisfies the Equation

Substitute by
`x=a=-5` into the Equation
`4x+1+7c=8c-3x+6`

Then
`4(-5)+1+7c=8c-3(-5)+6`

Then
`-20+1+7c=8c+15+6`

By adding like-terms

Then
`-19+7c=8c+21`

Then
`8c-7c=-19-21`

Then
`c=-40`

Answer 2

To find the value of "c" for which the number "a" (-5 in this case) is a solution of the equation, we can substitute "a" into the equation and solve for "c".

Given equation: 4x + 1 + 7c = 8c - 3x + 6

Substituting x with "a": 4(-5) + 1 + 7c = 8c - 3(-5) + 6

Simplifying the equation: -20 + 1 + 7c = 8c + 15 + 6

Combining like terms: -19 + 7c = 8c + 21

Moving all "c" terms to one side: 7c - 8c = 21 + 19

Simplifying: -c = 40

Dividing both sides by -1 to isolate "c": -c/-1 = 40/-1

Flipping the sign when dividing by a negative number: c = -40

So, the value of "c" for which the number "a" (-5) is a solution of the equation is c = -40.