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

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving 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) = -11Multiply:                                    5x + 6x = -11Combine like terms:                11x = -11Isolate x:                                   x = -1

Step 5: Solve for y

Define equation:                    y = 2xSubstitute in x:                       y = 2(-1)Multiply:                                  y = -2

Step 6: Graph Systems

Check the solution set.