abihaahmed24 abihaahmed24
  • 01-01-2024
  • Mathematics
contestada

find x and y given that 2x-10= 4y and 3y = 5x-18​

Respuesta :

Marver1ck
Marver1ck Marver1ck
  • 01-01-2024

Answer:

x = 3

y = -1

Step-by-step explanation:

We have the equations:

1) 2x - 10 = 4y

2) 3y = 5x - 18

We can rearrange equation 1 to express x in terms of y:

2x = 4y + 10

x = (4y + 10) ÷ 2

x = 2y + 5

Now, substitute this expression for x in equation 2:

3y = 5(2y + 5) - 18

3y = 10y + 25 - 18

-7y = 7

y = -1

Substitute the value of y back into equation 1 to find x:

2x - 10 = 4(-1)

2x - 10 = -4

2x = 6

x = 3

So, x = 3

     y = -1

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