Question

How can I solve this with substitution with steps.
y=-6x-16
-2x+4y=-2

Answer 1

(-31/13, -22/13)

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Coordinates (x, y)
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = -6x - 16

-2x + 4y = -2

Step 2: Solve for x

Substitution

1. Substitute in y: -2x + 4(-6x - 16) = -2
2. Distribute 4: -2x - 24x - 64 = -2
3. Combine like terms: -26x - 64 = -2
4. [Addition Property of Equality] Add 64 on both sides: -26x = 62
5. [Division Property of Equality] Divide -26 on both sides: x = -31/13

Step 3: Solve for y

1. Define original equation: y = -6x - 16
2. Substitute in x: y = -6(-31/13) - 16
3. Multiply: y = 186/13 - 16
4. Subtract: y = -22/13