Question

Ok, LAST QUESTION for today! PLEASE SHOW YOUR WORK TY

Answer 1

(32/5, -48/5)

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

-4x + 16 = y

2x - 32 = 2y

Step 2: Solve for x

Substitution

1. Substitute in y: 2x - 32 = 2(-4x + 16)
2. Distribute 2: 2x - 32 = -8x + 32
3. [Addition Property of Equality] Add 8x on both sides: 10x - 32 = 32
4. [Addition Property of Equality] Add 32 on both sides: 10x = 64
5. [Division Property of Equality] Divide 10 on both sides: x = 32/5

Step 3: Solve for y

1. Define original equation: -4x + 16 = y
2. Substitute in x: -4(32/5) + 16 = y
3. Multiply: -128/5 + 16 = y
4. Add: -48/5 = y
5. Rewrite/Rearrange: y = -48/5