Solve this system by elimination
10x+6y=14
-x-6y=-23

(-1, 4)

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

10x + 6y = 14

-x - 6y = -23

Step 2: Solve for x

Elimination

Add 2 equations together:                    9x = -9Divide 9 on both sides:                          x = -1

Step 3: Solve for y

Define original equation:                    -x - 6y = -23Substitute in x:                                     -(-1) - 6y = -23Multiply:                                                1 - 6y = -23Subtract 1 on both sides:                     -6y = -24Divide -6 on both sides:                      y = 4