Solve the system of equations by substitution:
y=4x-8
x-2y=16

(0, -8)

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 = 4x - 8

x - 2y = 16

Step 2: Solve for x

Substitution

Substitute in y:                    x - 2(4x - 8) = 16Distribute -2:                       x - 8x + 16 = 16Combine like terms:           -7x + 16 = 16Isolate x term:                     -7x = 0Isolate x:                              x = 0

Step 3: Solve for y

Define equation:                    y = 4x - 8Substitute in x:                       y = 4(0) - 8Multiply:                                  y = 0 - 8Subtract:                                 y = -8