Question

Solve the system of equations below:
5x-2y=18
3x+3y=15

Answer 1

x = 4

y = 1

I hope this helps. :)

Answer 2

Answer : The value of x and y is, 4 and 1 respectively.

Step-by-step explanation :

The given equations are:

`5x-2y=18` ..........(1)

`3x+3y=15` ..........(2)

Using substitution method,

`5x-2y=18`

`5x=18+2y`

`x=(18+2y)/(5)` ...........(3)

Now putting equation 3 in 2, we get the value of y.

`3x+3y=15`

`3((18+2y)/(5))+3y=15`

`((54+6y)/(5))+3y=15`

`54+6y+15y=75`

`6y+15y=75-54`

`21y=21`

`y=1`

Now putting value of y in equation 3, we get the value of x.

`x=(18+2y)/(5)`

`x=(18+2* 1)/(5)`

`x=(18+2)/(5)`

`x=4`

Thus, the value of x and y is, 4 and 1 respectively.