Question

Solve the system of equations by the addition method.−2x−y=0 10x+y=−8​

Answer 1

Explanation:

-2x -y = 0

10x+ y= -8

8x = -8

x = -1

-10 + y = -8

y = 2

(-1, 2)

Answer 2

(-1, 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

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

-2x - y = 0

10x + y = -8

Step 2: Solve for x

Elimination

1. Combine equations: 8x = -8
2. Isolate x: x = -1

Step 3: Solve for y

1. Define equation: -2x - y = 0
2. Substitute in x: -2(-1) - y = 0
3. Multiply: 2 - y = 0
4. Isolate y term: -y = -2
5. Isolate y: y = 2