Question

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

Answer 1

(0, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = 4x - 8

x - 2y = 16

Step 2: Solve for x

Substitution

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

Step 3: Solve for y

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