-2x + 2y = -4
2x - 3y = 2

(4, 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

TermsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-2x + 2y = -4

2x - 3y = 2

Step 2: Rewrite Systems

2x - 3y = 2

Add 3y to both sides:                    2x = 3y + 2

Step 3: Redefine Systems

-2x + 2y = -4

2x = 3y + 2

Step 4: Solve for y

Substitution

Substitute in 2x:                    -(3y + 2) + 2y = -4Distribute -1:                           -3y - 2 + 2y = -4Combine like terms:              -y - 2 = -4Isolate y term:                        -y = -2Isolate y:                                 y = 2

Step 5: Solve for x

Define equation:                    2x - 3y = 2Substitute in y:                       2x - 3(2) = 2Multiply:                                  2x - 6 = 2Isolate x term:                        2x = 8Isolate x:                                 x = 4

5/8 beds for each square yard