Solve the system:
y = -2x + 9
y = 3x + 9

(0, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -2x + 9

y = 3x + 9

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                3x + 9 = -2x + 9[Addition Property of Equality] Add 2x on both sides:                                5x + 9 = 9[Subtraction Property of Equality] Subtract 9 on both sides:                      5x = 0[Division Property of Equality] Divide 5 on both sides:                                x = 0

Step 3: Solve for y

Define equation:                                                                                             y = -2x + 9Substitute in x:                                                                                                y = -2(0) + 9Multiply:                                                                                                           y = 0 + 9Add:                                                                                                                 y = 9

Ci think but i'm not entirely sure so..