Answered

Find solutions to your problems with the expert advice available on IDNLearn.com. Our Q&A platform is designed to provide quick and accurate answers to any questions you may have.

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

Sagot :

Amysun2025idn

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!

Spaceidn

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
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.