Answer:
(-1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
Step 1: Define Systems
-2x + y = 0
5x + 3y = -11
Step 2: Rewrite Systems
-2x + y = 0
- Add 2x on both sides: y = 2x
Step 3: Redefine Systems
y = 2x
5x + 3y = -11
Step 4: Solve for x
Substitution
- Substitute in y: 5x + 3(2x) = -11
- Multiply: 5x + 6x = -11
- Combine like terms: 11x = -11
- Isolate x: x = -1
Step 5: Solve for y
- Define equation: y = 2x
- Substitute in x: y = 2(-1)
- Multiply: y = -2
Step 6: Graph Systems
Check the solution set.
