Question

Solve the following system of linear equations using the elimination method. 3m-n=-10

Answer 1

Hello there! Thanks for reaching out!

The answer to your question is:

m = -3, n = 1

Step-by-Step explanation:

Let's use BPEDMAS.

First, we will solve for the independent, m.

Next, Combine the equations |  5m = -15

Last, Divide both of these sides by 5 | m = -3

Second, we will solve for the dependent, n.

First, we will have to substitute for m | 3(-3) - n = -10

Next, Multiply | -9 - n = -10

Soon, we will add 9 to both sides | -n = -1

Last, Divide -1 on both sides | n = 1

The answer option to your question is:

• m = -3, n=1

I hope this answer helped you!

Answer 2

Answer:

m = -3, n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3m - n = -10

2m + n = -5

Step 2: Solve for m

Elimination

1. Combine equations:                    5m = -15
2. Divide 5 on both sides:               m = -3

Step 3: Solve for n

1. Define equation:                    3m - n = -10
2. Substitute in m:                      3(-3) - n = -10
3. Multiply:                                  -9 - n = -10
4. Add 9 to both sides:              -n = -1
5. Divide -1 on both sides:         n = 1