Question

Use the substitution method to solve the system of equations.

Answer 1

Answer:

D. (1/4, -2)

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

Step-by-step explanation:

Step 1: Define Systems

y = -8x

4x - y = 3

Step 2: Solve for x

Substitution

1. Substitute in y:                    4x - (-8x) = 3
2. Simplify:                               4x + 8x = 3
3. Combine like terms:           12x = 3
4. Isolate x:                              x = 3/12
5. Simplify:                               x = 1/4

Step 3: Solve for y

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