Respuesta :

Space

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

  1. Substitute in y:                              -5x + 2(7x) = 9
  2. Multiply:                                         -5x + 14x = 9
  3. Combine like terms:                      9x = 9
  4. Isolate x:                                         x = 1

Step 3: Solve for y

  1. Define original equation:                    y = 7x
  2. Substitute in x:                                     y = 7(1)
  3. Multiply:                                                y = 7

Answer: x = 1 and y = 7

Step-by-step explanation:

first you substitude y for 7x

-5x + 2(7x) = 9

then you distribute

-5x + 14x = 9

then you combine like terms

9x = 9

then you divide both sides by 9

x = 1

then you subsitute the x value in the other equations

y = 7(1)

meaning y = 7