12x + 6y= 162
2x + 10y= 126

Solve using system of equations. Show all work

(8, 11)

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

12x + 6y = 162

2x + 10y = 126

Step 2: Simplify systems

2x + y = 27

x + 5y = 63

Step 3: Rewrite systems

2x + y = 27

x = 63 - 5y

Step 4: Solve for y

Substitute in x:                        2(63 - 5y) + y = 27Distribute 2:                            126 - 10y + y = 27Combine like terms:               126 - 9y = 27Isolate y term:                         -9y = -99Isolate y:                                  y = 11

Step 5: Solve for x

Define equation:                    x + 5y = 63Substitute in y:                       x + 5(11) = 63Multiply:                                  x + 55 = 63Isolate x:                                 x = 8