jennifer7373366
jennifer7373366 jennifer7373366
  • 23-05-2022
  • Mathematics
contestada

Solve the system of equations
−5x−3y=−28 and x+2y=0 by combining the equations

Respuesta :

rdacoder
rdacoder rdacoder
  • 23-05-2022

Answer: (8, -4)

Step-by-step explanation:

-5x - 3y = -28
  x + 2y = 0

1. Multiply both sides of the bottom system by 5 to cancel the x out

   5(x+2y=0)

   5x + 10y = 0

2. rewrite

   -5x - 3y = -28

    5x + 10y = 0

3. add

   0x + 7y = -28

4. divide by 7

   7y = -28

5. y = -4

6. plug in -4 for y in one of the original equations

   x + 2(-4) = 0

7. simplify

   x = 8

9. solution is

   (8, -4)

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