- 20y - 7x = -14
10y - 2x = -4

(2, 0)

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

-20y - 7x = -14

10y - 2x = -4

Step 2: Rewrite systems

10y - 2x = -4

Subtract 10y on both sides:                    -2x = -10y - 4Divide -2 on both sides:                          x = 5y + 2

Step 3: Redefine systems

-20y - 7x = -14

x = 5y + 2

Step 4: Solve for y

Substitution

Substitute in x:                              -20y - 7(5y + 2) = -14Distribute -7:                                 -20y - 35y - 14 = -14Combine like terms:                     -55y - 14 = -14Add 14 on both sides:                  -55y = 0Divide -55 on both sides:            y = 0

Step 5: Solve for x

Define original equation:                    10y - 2x = -4Substitute in y:                                     10(0) - 2x = -4Multiply:                                                0 - 2x - 4Simplify:                                                -2x = -4Divide -2 on both sides:                      x = 2

Step 6: Graph systems

Check solution set and systems.