Respuesta :

Space

Answer:

(3, -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

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3y = -2x

y = x - 5

Step 2: Solve for x

Substitution

  1. Substitute in y:                    3(x - 5) = -2x
  2. Distribute 3:                         3x - 15 = -2x
  3. Add 2x on both sides:        5x - 15 = 0
  4. Add 15 on both sides:         5x = 15
  5. Divide 5 on both sides:       x = 3

Step 3: Solve for y

  1. Define equation:                    y = x - 5
  2. Substitute in x:                       y = 3 - 5
  3. Subtract:                                 y = -2

Answer:

y = -2

x = 3

Step-by-step explanation:

First plug in the y= x-5 equation into the 3y = -2x so that it looks like this:

3(x-5)=-2x

Second after distributing the 3 to the x and -5 you will have an equation that looks like this: 3x -15 = -2x

Then you have keep the x's on one side so you add 2x to both sides and add 15 as well so now you have: 5x = 15

Divide both sides by 5 and get x = 3

To find y, you plug x=3 in in to the y = x-5 and get that y = -2

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