Question

Hello, I'm trying to solve 6x + y = 4, x - 4y = 19. I have found the y but I cant seem to find the x. Plz help and we cant use decimals.

Answer 1

`x=(7)/(5)`

`y=-(22)/(5)`

Explanation:

Given:

The given expressions are.

`6x+y=4`

`x-4y=19`

We need to find x and y values.

Solution:

Equation 1⇒
`6x+y=4`

Equation 2⇒
`x-4y=19`

First solve the equation 1 for y.

`6x+y=4`

`y = 4-6x` --------(3)

Substitute
`y = 4-6x` in equation 2.

`x-4(4-6x)=19`

Simplify.

`x-(4* 4 - 4* 6x)=19`

`x-(16-24x)=19`

`x-16+24x=19`

Add 16 both side of the equation.

`25x-16+16=19+16`

`25x=35`

`x=(35)/(25)`

Divide Numerator and denominator by 5.

`x=(7)/(5)`

Substitute x value in equation 3 and simplify.

`y=4-6((7)/(5))`

`y=4-(6* 7)/(5)`

`y=4-(42)/(5)`

`y=(5* 4-42)/(5)`

`y=(20-42)/(5)`

`y=-(22)/(5)`.

Therefore, the value of
`x=(7)/(5)` and
`y=-(22)/(5)`.