Question

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

2m +n=-5


m = -2, n =4
m = -3, n=1
m=-3, n = -1
m = -4, n = -2​

Answer 1

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

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