Question

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

Answer 1

Answer:

(-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

Step-by-step 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.