Question

What is the x value of the solution to the system is the equations

4x-2y=16

4y=-3x+34

Answer 1

x = 6

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

• Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x - 2y = 16

4y = -3x + 34

Step 2: Rewrite Systems

4x - 2y = 16

1. [Multiplication Property of Equality] Multiply everything by 2: 8x - 4y = 32

Step 3: Redefine Systems

8x - 4y = 32

4y = -3x + 34

Step 4: Solve for x

Elimination

1. Combine 2 equations: 8x = 32 - 3x + 34
2. [Addition] Combine like terms: 8x = -3x + 66
3. [Addition Property of Equality] Add 3x on both sides: 11x = 66
4. [Division Property of Equality] Divide 11 on both sides: x = 6