-2x - 8y = -16
2x - 7y = -14

(0, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-2x - 8y = -16

2x - 7y = -14

Step 2: Solve for y

Elimination

Add 2 equations together:                    -15y = -30Divide -15 on both sides:                       y = 2

Step 3: Solve for x

Define original equation:                    2x - 7y = -14Substitute in y:                                     2x - 7(2) = -14Multiply:                                                2x - 14 = -14Add 14 to both sides:                           2x = 0Divide 2 on both sides:                        x = 0

Step 4: Graph

Check the system.

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