61.2k views
4 votes
-2x + 2y = -4
2x - 3y = 2

User Cullimorer
by
9.0k points

2 Answers

6 votes

Answer:

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

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!

User Lahiru Jayakody
by
8.1k points
10 votes

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

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
User LLucasAlday
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories