Solve each system by substitution.
1) y = 2x + 2
y = -5x + 16

(2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 2

y = -5x + 16

Step 2: Solve for x

Substitution

Substitute in y:                     2x + 2 = -5x + 16Add 5x on both sides:         7x + 2 = 16Subtract 2 on both sides:    7x = 14Divide 7 on both sides:        x = 2

Step 3: Solve for y

Define equation:                    y = 2x + 2Substitute in x:                       y = 2(2) + 2Multiply:                                  y = 4 + 2Add:                                        y = 6