Solve the system by substitution.
y = x + 35
Y = 8x

(5, 40)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x + 35

y = 8x

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                8x = x + 35[Subtraction Property of Equality] Subtract x on both sides:                      7x = 35[Division Property of Equality] Divide 7 on both sides:                                 x = 5

Step 3: Solve for y

Define original equation:                                                                               y = 8(5)Multiply:                                                                                                            y = 40