Solve the system by substitution.
--5x - 9y = 33
-Y - 1 = x

(12/7, -19/7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

--5x - 9y = 33

-y - 1 = x

Step 2: Simplify systems

5x - 9y = 33

-y - 1 = x

Step 3: Solve for y

Substitute:                              5(-y - 1) - 9y = 33Distribute 5:                            -5y - 5 - 9y = 33Combine like terms:               -14y - 5 = 33Isolate y term:                         -14y = 38Isolate y:                                  y = -19/7

Step 4: Solve for x

Define:                              -y - 1 = xSubstitute:                        -(-19/7) - 1 = xSimplify:                            19/7 - 1 = xSubtract:                           12/7 = xRewrite:                             x = 12/7

And we have our final answer!