-3x + 10y = 11
-8x + 2y = -20

(3, 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

-3x + 10y = 11

-8x + 2y = -20

Step 2: Rewrite systems

-8x + 2y = -20

Add 8x to both sides:                    2y = 8x - 20Divide 2 on both sides:                 y = 4x - 10

Step 3: Redefine systems

-3x + 10y = 11

y = 4x - 10

Step 4: Solve for x

Substitution

Substitute in y:                         -3x + 10(4x - 10) = 11Distribute 10:                            -3x + 40x - 100 = 11Combine like terms:                37x - 100 = 11Add 100 to both sides:            37x = 111Divide 37 on both sides:         x = 3

Step 5: Solve for y

Define original equation:                    -3x + 10y = 11Substitute in x:                                     -3(3) + 10y = 11Multiply:                                                -9 + 10y = 11Add 9 to both sides:                             10y = 20Divide 10 on both sides:                       y = 2

Step 6: Graph system

Check the system.