annalyseharper1724 annalyseharper1724
  • 16-03-2022
  • Mathematics
contestada

Find the solution of the system of equations.
X – 10y = 18
- 6x – 10y = 32​

Respuesta :

akjlaurelsprings
akjlaurelsprings akjlaurelsprings
  • 16-03-2022

Answer: x = 46, y = 2.8

Step-by-step explanation:

equation 1: x - 10y = 18

equation 2: -6x - 10y = 32

The first equation can be re-written as: x = 18 + 10y

This can be substituted into the second equation and solved:

-6(18+10y) - 10y = 32

-108 + 60y - 10y = 32

50y = 140

.: y = 2.8

Using this value of y we can find x:

x = 18 + 10y

x = 18 + 10(2.8)

x = 18 + 28

x = 46

So, our solutions are: x = 46, y = 2.8

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