Answer:
(-5, -2)
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
Algebra I
- Equality Properties
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define systems
6x = 10y - 10
x + y + 7 = 0
Step 2: Rewrite systems
6x = 10y - 10
y = -x - 7
Step 3: Solve for x
- Substitute: 6x = 10(-x - 7) - 10
- Distribute 10: 6x = -10x - 70 - 10
- Combine like terms: 6x = -10x - 80
- Add 10x to both sides: 16x = -80
- Divide 16 on both sides: x = -5
Step 4: Solve for y
- Define: x + y + 7 = 0
- Substitute: -5 + y + 7 = 0
- Combine like terms: y + 2 = 0
- Subtract 2 on both sides: y = -2
And we have our answer!
