Question

6x = 10y - 10
x + y + 7 = 0
What is x and y?

Answer 1

x=(-5)

y=(-2)

Explanation:

Answer 2

(-5, -2)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

• Equality Properties
• Solving systems of equations using substitution/elimination

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

1. Substitute: 6x = 10(-x - 7) - 10
2. Distribute 10: 6x = -10x - 70 - 10
3. Combine like terms: 6x = -10x - 80
4. Add 10x to both sides: 16x = -80
5. Divide 16 on both sides: x = -5

Step 4: Solve for y

1. Define: x + y + 7 = 0
2. Substitute: -5 + y + 7 = 0
3. Combine like terms: y + 2 = 0
4. Subtract 2 on both sides: y = -2

And we have our answer!