Question

-2x + y =0
5x + 3y = -11

Answer 1

(-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
• Solving systems of equations by graphing

Explanation:

Step 1: Define Systems

-2x + y = 0

5x + 3y = -11

Step 2: Rewrite Systems

-2x + y = 0

1. Add 2x on both sides: y = 2x

Step 3: Redefine Systems

y = 2x

5x + 3y = -11

Step 4: Solve for x

Substitution

1. Substitute in y: 5x + 3(2x) = -11
2. Multiply: 5x + 6x = -11
3. Combine like terms: 11x = -11
4. Isolate x: x = -1

Step 5: Solve for y

1. Define equation: y = 2x
2. Substitute in x: y = 2(-1)
3. Multiply: y = -2

Step 6: Graph Systems

Check the solution set.