What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27

y = -18

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

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Define:                                        3x - 2y = 27Add 2y on both sides:               3x = 2y + 27Divide 3 on both sides:              x = 2/3y + 9

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Substitute in x:                              y = 5(2/3y + 9) - 3Distribute 5:                                  y = 10/3y + 45 - 3Combine like terms:                     y = 10/3y + 42Subtract 10/3y on both sides:      -7/3y = 42Divide -7/3 on both sides:            y = -18