SOLUTION: If 3x+c=4, then x equals what? How do you do the above problem?

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: If 3x+c=4, then x equals what? How do you do the above problem?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 557361: If 3x+c=4, then x equals what?
How do you do the above problem?

Found 2 solutions by Theo, bucky:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
3x + c = 4
subtract c from both sides of the equation to get:
3x = 4 - c
divide both sides of the equation by 3 to get:
x = (4-c)/3
that's if you are solving for x.
if you are solving for c, you would do the following:
3x + c = 4
subtract 3x from both sides of the equation to get:
c = 4 - 3x

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
You are asked to solve for x in the given equation:
.
+3x+%2B+c+=+4
.
The first thing to recognize is that the equation has two unknowns, x and c. You cannot solve this single equation to determine a numerical value for x. In order to get a numerical value for x you need to know a numerical value for c, and to solve for two unknowns (x and c) you need to be given two independent equations.
.
So in this problem, when you solve for x, you will do so knowing that the c will still be involved in determining x.
.
Here's what is involved in answering this problem:
.
First, you need to get the term involving x to be the only term on the left side, meaning that all other terms need to be on the right side.
.
So you need to move the + c to the right side of the equation. You can do this by subtracting c from both sides. This is done as follows:
.
3x+%2B+c+-+c+=+4+-+c
.
On the left side the + c and the - c cancel each other and that makes the + c disappear from the left side. The equation that remains after this subtraction is:
.
3x+=+4+-+c
.
Finally, you solve for x by dividing both sides of this equation (all terms) by 3. On the left side, when you divide 3x by 3 you are left with just x. On the right side the division by 3 can be written as shown:
.
x+=+%284+-+c%29%2F3
.
This answer can also be written as:
.
x+=+4%2F3+-+c%2F3
.
Both answers are the same, just in different forms.
.
This tells you that in order to get a numerical answer for x, you have to be given the numerical value of c. For example, if you were told that c equals 1, you would substitute 1 for c and get:
.
x+=+4%2F3+-+1%2F3
.
Subtracting the two terms on the right side will result in an answer of 3%2F3 which simplifies to 1. So when c equals 1 you can say that x also equals 1.
.
Hope this helps you to understand the problem.
.