Respuesta :

Answer:

x=3

y = -2

Step-by-step explanation:

2x+5y = -4

y = x-5

We want to use substitution

In the first equation, every time we see y, substitute x-5

2x + 5( x-5) = -4

Distribute

2x + 5x -25 = -4

Combine like terms

7x -25 = -4

Add 25 to each side

7x -25+25 = -5+25

7x = 21

Divide each side by 7

7x/7 = 21/7

x=3

Now we can find y

y = x-5

y = 3-5

y = -2

The answer is x = 3, y = -2 or (3, -2).

We are given that :

  1. 2x + 5y = -4
  2. y = x - 5

Let us substitute the 2nd equation's value of y in the 1st equation.

  • 2x + 5(x - 5) = -4
  • 2x + 5x - 25 = -4
  • 7x = 21
  • x = 3

Now, substitute for x in the 2nd equation.

  • y = 3 - 5
  • y = -2
ACCESS MORE
EDU ACCESS
Universidad de Mexico