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

Sagot :

amysun2025

Answer:

x=4, y=2 (4,2)

Step-by-step explanation:

This is a system of equations.

-2x+2y=-4

2x-3y=2

I'll use the elimination method to solve this.

add the two equations together.

what's left:

-y=-2

multiply both by -1

y=2

now, substitute 2 as y into one of the other equations.

For example:

-2x+2(2)=-4

-2x+4=-4

-2x=-8

x=4

hope this helps!

Space

Answer:

(4, 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

  • Terms
  • Solving 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

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

Step 3: Redefine Systems

-2x + 2y = -4

2x = 3y + 2

Step 4: Solve for y

Substitution

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

Step 5: Solve for x

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