can somebody help me with this problem....DONT GIVE ME THE ANSWER JUST HOW TO WORK IT...
2r + 8 / 4 = 3r - 6 /3
i think i figured it out.....i think the answer is r=8
Not correct
Post your work and someone can explain what you are doing wrong.
First simplify 8/4 and 6/3
and then combine like terms.
helper, its not 8/4 and 6/3. its 2r+8 over 4 = 3r-6 over 3
That is written
(2r+8)/4 = (3r-6)/3
(r+4)/2 = (r-2)
r+4 = 2(r-2)
r+4 = 2r - 4
8 = r
check
(16+8)/4 =? (24-6)/3
24/4 = ? 18/3
6 = 6 yes, it checks
Thanks so much!
(2r + 8)/4 = (3r - 6)/3
Yes, you are correct, r = 8.
Of course! I'd be happy to help you solve this problem. To start, let's simplify the equation step by step.
First, let's deal with the fractions on both sides of the equation. To combine the terms on the left side, we need to find a common denominator for the fractions. In this case, the common denominator is 4.
So, let's rewrite the equation with a common denominator:
(2r + 8)/4 = (3r - 6)/3
Next, we need to eliminate the fractions by multiplying every term by the common denominator. In this case, the common denominator is 4, so we'll multiply both sides of the equation by 4.
4 * (2r + 8)/4 = 4 * (3r - 6)/3
Simplifying further, we get:
2r + 8 = 4(3r - 6)/3
Now, we can simplify the right side of the equation by multiplying 4 by each term within the parentheses:
2r + 8 = (12r - 24)/3
Next, we need to eliminate the fraction on the right side. To do this, we can multiply both sides of the equation by 3:
3(2r + 8) = 3 * (12r - 24)/3
Simplifying further, we have:
6r + 24 = 12r - 24
Now, let's isolate the variables on one side and the constants on the other side of the equation. Let's move the 12r term to the left side by subtracting 12r from both sides:
6r - 12r + 24 = 12r - 12r - 24
Simplifying further, we get:
-6r + 24 = -24
Next, let's isolate the r term by subtracting 24 from both sides:
-6r + 24 - 24 = -24 - 24
Simplifying further, we have:
-6r = -48
Finally, to solve for r, we'll divide both sides of the equation by -6:
-6r/-6 = -48/-6
Simplifying further, we get:
r = 8
So, the solution to the equation is r = 8.