-3x-3y=3 ,y=-5x-17 solving systems by substitution

(-4, 3)

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 by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-3x - 3y = 3

y = -5x - 17

Step 2: Solve for x

Substitution

Substitute in y:                    -3x - 3(-5x - 17) = 3Distribute -3:                       -3x + 15x + 51 = 3Combine like terms:           12x + 51 = 3Isolate x term:                     12x = -48Isolate x:                              x = -4

Step 3: Solve for y

Define equation:                    y = -5x - 17Substitute in x:                       y = -5(-4) - 17Multiply:                                  y = 20 - 17Subtract:                                 y = 3