Question

In the following equation, c and d are both integers.

4cx - 5c = -12x + d
What is the value of c?
What is the value of d?

Answer 1

To find the value of c, divide (-12x + d) by (4x - 5). To find the value of d, simplify the equation by multiplying both sides by (4x - 5).

Step-by-step explanation:

To find the value of c, we need to isolate it on one side of the equation.

Let's start by simplifying the equation: 4cx - 5c = -12x + d.

We can factor out a common c from the left side: c(4x - 5) = -12x + d.

Divide both sides of the equation by (4x - 5) to solve for c: c = (-12x + d) / (4x - 5).

To find the value of d, we can substitute the value of c we just found into the original equation: 4cx - 5c = -12x + d.

Simplifying, we have: 4((-12x + d) / (4x - 5)) - 5((-12x + d) / (4x - 5)) = -12x + d.

Multiply both sides by (4x - 5) to eliminate the denominators: 4(-12x + d) - 5(-12x + d) = -12x(4x - 5) + d(4x - 5).

Simplifying this equation will give us the value of d.

Answer 2

4cx - 5c = -12x + d
we can factor out the c, to get:
c(4x - 5) = -12x + d

divide both sides by (4x - 5) to get c
c = -12x + d
4x - 5

or you can use the same equation to get d
c(4x - 5) = -12x + d
add 12 x to both sides

d = c(4x - 5) + 12x