What is the solution to the following system of equations?

x - 2y = 6

y = 11 - 3x

(4, -1)

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

x - 2y = 6

y = 11 - 3x

Step 2: Rewrite systems

Define:                              x - 2y = 6Add 2y on both sides:     x = 2y + 6

x = 2y + 6

y = 11 - 3x

Step 3: Solve for y

Substitute in x:                              y = 11 - 3(2y + 6)Distribute -3:                                 y = 11 - 6y - 18Combine like terms:                     y = -6y - 7Add 6y on both sides:                  7y = -7Divide 7 on both sides:                y = -1

Step 4: Solve for x

Define:                                        x - 2y = 6Substitute in y:                           x - 2(-1) = 6Multiply:                                      x + 2 = 6Subtract 2 on both sides:          x = 4

The linear equation is: y=ax+b