Question

What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3

(-4,-1)
(1,4)
(-1,-4)
(4,1)

Answer 1

For this case we have the following system of equations:

`4x + 2y = 18\\x-y = 3`

To solve, we clear "x" from the second equation:

`x = 3 + y`

We substitute "x" in the first equation:

`4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18`

We clear the value of the variable "y":

`6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1`

We look for the value of the variable "x":

`x = 3 + y\\x = 3 + 1\\x = 4`

Thus, the solution of the system is given by:

`(x, y) :( 4,1)`

Answer:

`(x, y) :( 4,1)`

Option D