Y = 2x – 4
y = -x + 5

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Substitute in y:                    2x - 4 = -x + 5Add x to both sides:           3x - 4 = 5Add 4 to both sides:           3x = 9Isolate x:                              x = 3

Step 3: Solve for y

Define equation:                    y = -x + 5Substitute in x:                       y = -3 + 5Add:                                        y = 2