Solve the system of linear equations by substitution. Check your solution.

(3, -2)

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

3y = -2x

y = x - 5

Step 2: Solve for x

Substitution

Substitute in y:                    3(x - 5) = -2xDistribute 3:                         3x - 15 = -2xAdd 2x on both sides:        5x - 15 = 0Add 15 on both sides:         5x = 15Divide 5 on both sides:       x = 3

Step 3: Solve for y

Define equation:                    y = x - 5Substitute in x:                       y = 3 - 5Subtract:                                 y = -2