Question

Given that 6 x − 4 y = 29 Find x when y = 4

Answer 1

`7.5 \: or \:7(1)/(2)`

Explanation:

`6x- 4 y = 29\\x =?\\y =4`

Substitute 4 for y in the given equation ;

`6x-4(4)=29\\6x -16=29`

Collect like terms

`6x = 29+16`

Simplify

`6x = 45`

Divide both sides of the equation by 6

`(6x)/(6) = (45)/(6) \\\\x =(15)/(2) \:or \: 7.5 \: or \:7(1)/(2)`

Answer 2

`x=15/2=7.5`

Explanation:

So we have the equation:

`6x-4y=29`

And we want to find x when y is 4.

So, substitute y for 4:

`6x-4(4)=29`

Multiply:

`6x-16=29`

Add 16 to both sides:

`6x=45`

Divide both sides by 6:

`x=45/6`

Reduce by dividing both layers by 3:

`x=15/2=7.5`

And this is our answer :)