Answer:
(-3, -11)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Algebra I
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Explanation:
Step 1: Define Systems
y = 7x + 10
y = -4x - 23
Step 2: Solve for x
Substitution
- Substitute in y: 7x + 10 = -4x - 23
- [Addition Property of Equality] Add 4x on both sides: 11x + 10 = -23
- [Subtraction Property of Equality] Subtract 10 on both sides: 11x = -33
- [Division Property of Equality] Divide 11 on both sides: x = -3
Step 3: Solve for y
- Define original equation: y = 7x + 10
- Substitute in x: y = 7(-3) + 10
- Multiply: y = -21 + 10
- Add: y = -11