I was having trouble solving these equations:
7a+10=2a
11x=24+8x
9g-14=2g
m-18=3m.
I have to show my work and solve the answer to get the variable.
Thank you!
7a+10=2a
Subtract 7a from both sides.
10 = 2a - 7a
10 = -5a
Divide both sides by -5
-2 = a
Try the other problems.
Thank you that helped a lot!
You're welcome.
Sure! Let's solve these equations step by step.
1. 7a + 10 = 2a
To solve for a, we want to isolate the variable on one side of the equation. Start by subtracting 2a from both sides of the equation to get rid of the 2a on the right side:
7a + 10 - 2a = 2a - 2a
Simplifying this equation gives:
5a + 10 = 0
Next, we want to get rid of the constant term (+10) on the left side. To do that, subtract 10 from both sides:
5a + 10 - 10 = 0 - 10
Simplifying this equation gives:
5a = -10
Finally, to solve for the variable a, divide both sides of the equation by 5:
(5a)/5 = -10/5
Simplifying gives:
a = -2
So the solution to the equation 7a + 10 = 2a is a = -2.
2. 11x = 24 + 8x
To solve for x, we need to isolate the variable on one side of the equation. Begin by subtracting 8x from both sides:
11x - 8x = 24 + 8x - 8x
Simplifying this equation gives:
3x = 24
Next, divide both sides of the equation by 3 to solve for x:
(3x)/3 = 24/3
Simplifying gives:
x = 8
Therefore, the solution to the equation 11x = 24 + 8x is x = 8.
3. 9g - 14 = 2g
To solve for g, we want to isolate the variable on one side of the equation. Begin by subtracting 2g from both sides:
9g - 2g - 14 = 2g - 2g
Simplifying this equation gives:
7g - 14 = 0
Next, add 14 to both sides of the equation to get rid of the constant term:
7g - 14 + 14 = 0 + 14
Simplifying this equation gives:
7g = 14
To solve for g, divide both sides of the equation by 7:
(7g)/7 = 14/7
Simplifying gives:
g = 2
Therefore, the solution to the equation 9g - 14 = 2g is g = 2.
4. m - 18 = 3m
To solve for m, we need to isolate the variable on one side of the equation. Begin by subtracting m from both sides:
m - 3m - 18 = 3m - 3m
Simplifying this equation gives:
-2m - 18 = 0
Next, add 18 to both sides of the equation to get rid of the constant term:
-2m - 18 + 18 = 0 + 18
Simplifying this equation gives:
-2m = 18
To solve for m, divide both sides of the equation by -2:
(-2m)/(-2) = 18/(-2)
Simplifying gives:
m = -9
Therefore, the solution to the equation m - 18 = 3m is m = -9.
I've shown the step-by-step process for solving each equation. Feel free to ask if you have any further questions!