Question

What is the solution: y=x and y=-x+4

Answer 1

(2, 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

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

Algebra I

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

Explanation:

Step 1: Define Systems

y = x

y = -x + 4

Step 2: Solve for x

Substitution

1. Substitute in y: x = -x + 4
2. [Addition Property of Equality] Add x on both sides: 2x = 4
3. [Division Property of Equality] Divide 2 on both sides: x = 2

Step 3: Solve for y

1. Define original equation: y = x
2. Substitute in x: y = 2