1.)
-9 + 4r = 4r - 3 - 6
2.)
6x - 2x + 8 = x + 5
3.)
4n + 5n + 15 = 5n + 7n
-9 + 4r = 4r - 3 - 6
0 = 0
6x - 2x + 8 = x + 5
4x + 8 = x + 5
3x = 5 - 8
3x = -3
x = ?
I'll be glad to check your answer for the last problem.
on the last one its the only one that i didn't get the others im just checking if i got them right.
I'm sorry you didn't post your answers to the first two problems.
oh sorry i forgot.
To solve these equations, we need to isolate the variable on one side of the equation.
1.) -9 + 4r = 4r - 3 - 6
First, let's simplify both sides of the equation. Combine like terms on each side:
-9 + 4r = 4r - 9
Now, let's eliminate the 4r term on the right side of the equation. We can do this by subtracting 4r from both sides of the equation:
-9 + 4r - 4r = 4r - 9 - 4r
Simplifying further, we have:
-9 = -9
This equation is true for all values of r. So, there is no specific solution for r. The equation has infinitely many solutions.
2.) 6x - 2x + 8 = x + 5
First, let's simplify both sides of the equation. Combine like terms on each side:
4x + 8 = x + 5
Next, let's eliminate the x term on the right side of the equation. We can do this by subtracting x from both sides of the equation:
4x + 8 - x = x + 5 - x
Simplifying further, we have:
3x + 8 = 5
Now, let's isolate the x term on one side of the equation. We can do this by subtracting 8 from both sides of the equation:
3x + 8 - 8 = 5 - 8
Simplifying further, we have:
3x = -3
Finally, let's solve for x by dividing both sides of the equation by 3:
(3x)/3 = (-3)/3
Simplifying further, we have:
x = -1
So, the solution for x is -1.
3.) 4n + 5n + 15 = 5n + 7n
First, let's simplify both sides of the equation. Combine like terms on each side:
9n + 15 = 12n
Next, let's eliminate the 9n term on the left side of the equation. We can do this by subtracting 9n from both sides of the equation:
9n - 9n + 15 = 12n - 9n
Simplifying further, we have:
15 = 3n
Now, let's isolate the n term on one side of the equation. We can do this by subtracting 15 from both sides of the equation:
15 - 15 = 3n - 15
Simplifying further, we have:
0 = 3n - 15
Finally, let's solve for n by adding 15 to both sides of the equation:
3n - 15 + 15 = 15 + 15
Simplifying further, we have:
3n = 30
Now, let's solve for n by dividing both sides of the equation by 3:
(3n)/3 = 30/3
Simplifying further, we have:
n = 10
So, the solution for n is 10.