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

m = -3, n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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

Step 3: Solve for n

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