High School

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Solve the equation and justify each step. Show all your work.

Equation: [tex]25 - 3m = 40[/tex]

Steps:

1. Subtract 25 from both sides:
[tex]-3m = 40 - 25[/tex]

2. Simplify the right side:
[tex]-3m = 15[/tex]

3. Divide both sides by -3 to solve for m:
[tex]m = \frac{15}{-3}[/tex]

4. Simplify:
[tex]m = -5[/tex]

Answer :

To solve the equation [tex]\(25 - 3m = 40\)[/tex], we need to isolate the variable [tex]\(m\)[/tex]. Here are the steps:

1. Subtract 25 from both sides:
Start with the equation:
[tex]\(25 - 3m = 40\)[/tex]
Subtract 25 from both sides to get rid of the constant on the left:
[tex]\((25 - 3m) - 25 = 40 - 25\)[/tex]
Simplifying this gives:
[tex]\(-3m = 15\)[/tex]

2. Divide both sides by -3 to solve for [tex]\(m\)[/tex]:
The equation now is [tex]\(-3m = 15\)[/tex].
Divide both sides by -3 to isolate [tex]\(m\)[/tex]:
[tex]\(m = 15 / -3\)[/tex]

3. Simplify the equation:
After dividing, we find:
[tex]\(m = -5\)[/tex]

So, the solution to the equation [tex]\(25 - 3m = 40\)[/tex] is [tex]\(m = -5\)[/tex].

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