-9x - 5y = 26
4x -4y = -24

(-4, 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

-9x - 5y = 26

4x - 4y = -24

Step 2: Rewrite systems

4x - 4y = -24

Add 4y to both sides:                    4x = 4y - 24Divide 4 on both sides:                 x = y - 6

Step 3: Redefine systems

-9x - 5y = 26

x = y - 6

Step 4: Solve for y

Substitution

Substitute in x:                    -9(y - 6) - 5y = 26Distribute -9:                       -9y + 54 - 5y = 26Combine like terms:           -14y + 54 = 26Isolate y term:                     -14y = -28Isolate y:                              y = 2

Step 5: Solve for x

Define original equation:                    4x - 4y = -24Substitute in y:                                     4x - 4(2) = -24Multiply:                                                4x - 8 = -24Add 8 to both sides:                            4x = -16Divide 4 on both sides:                       x = -4

Step 6: Graph

Check the solution set.