Solve the system using elimination

(3, 2)

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

2x + 5y = 16

3x - 5y = -1

Step 2: Solve for x

Eliminate y (add equations):                   5x = 15Divide 5 on both sides:                           x = 3

Step 3: Solve for y

Define equation:                          2x + 5y = 16Substitute in x:                             2(3) + 5y = 16Multiply:                                        6 + 5y = 16Subtract 6 on both sides:            5y = 10Divide 5 on both sides:               y = 2