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

(-5, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality PropertiesSolving 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) - 10Distribute 10:                          6x = -10x - 70 - 10Combine like terms:              6x = -10x - 80Add 10x to both sides:          16x = -80Divide 16 on both sides:        x = -5

Step 4: Solve for y

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

And we have our answer!