Question

Solve the given system by substitution.

Answer 1

Explanation:

5m = 2/3m - 13

15m = 2m - 39

13m = -39

m = -3

n = 5(-3)

n = -15

(-3, -15)

Answer 2

(-3, -15)

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

n = 5m

n = 2/3m - 13

Step 2: Solve for m

Substitution

1. Substitute in n: 5m = 2/3m - 13
2. Subtract 2/3m on both sides: 13/3m = -13
3. Divide 11/3 on both sides: m = -3

Step 3: Solve for n

1. Define equation: n = 5m
2. Substitute in m: n = 5(-3)
3. Multiply: n = -15