what is the solution for 3x=27-15x and what is the solution for 7(2-m)=3m
3x=27-15x
3x + 15x = 27 - 15x + 15x
18x = 27
x = 27/18 = 1 9/18 = 1 1/2
What do you think the solution to your other problem is?
3x=27-15x
3x+15x=27
18x=27
x=27/18
x=3/2
To find the solution for the equation 3x = 27 - 15x, you can follow these steps:
Step 1: Combine like terms
Add 15x to both sides of the equation to eliminate the negative term on the right side:
3x + 15x = 27 - 15x + 15x
18x = 27
Step 2: Solve for x
Divide both sides of the equation by 18 to isolate x:
18x / 18 = 27 / 18
x = 1.5
Therefore, the solution for the equation 3x = 27 - 15x is x = 1.5.
Now let's move on to the second equation, 7(2 - m) = 3m:
Step 1: Distribute
Multiply 7 by each term inside the parentheses:
14 - 7m = 3m
Step 2: Combine like terms
Add 7m to both sides of the equation to eliminate the negative term on the left side:
14 - 7m + 7m = 3m + 7m
14 = 10m
Step 3: Solve for m
Divide both sides of the equation by 10 to isolate m:
14 / 10 = 10m / 10
m = 1.4
Therefore, the solution for the equation 7(2 - m) = 3m is m = 1.4.