Question

Can someone help me solve this system of equation? Solve for C. Thanks!

Answer 1

A, though this is not a system of equations, it is a multivariable equation.

Explanation:

This is not a system of equations, it is a single equation. A system of equations would by necessity have multiple equations. An example of a system of equations would be:

`x+y=1`
`2x-y = 3`

In this system we would solve for the x and y values that make both equations true.

By contrast, this equation has multiple unknowns, but is not a system of equations.

`A=11+4b-4c`

We want to isolate c, so to do this the quickest method is to add 4c to each side, and subtract A from each side...

`A=11+4b-4c -> A+4c = 11+4b - 4c + 4c -> A+4c = 11+4b -> A-A+4c = 11+4b-A -> 4c = 11 + 4b - A`

Then divide both sides by 4...

`4c/4 = c = (11 + 4b - A)/4`

This is not the form our solution takes according to what you were presented with, so we will instead multiply the numerator and denominator both by -1 (so multiplying the fraction by `(-1)/(-1)`, which is itself equal to 1)

`= (-11-4b+a)/-4 = (a - 4b - 11)/-4`

The answer is A