Question

Find the value of x when y = 6 and z = -1/2, If

Answer 1

`x=-(261)/(46)`

Explanation:

we have the expression

`(3x+2y-5z)/(y-4z)=(x)/(3y)`

we have

`y=6,z=-(1)/(2)`

To find the value of x, substitute the given values of y and z in the expression

`(3x+2(6)-5(-(1)/(2)))/(6-4(-(1)/(2)))=(x)/(3(6))`

solve for x

`(3x+12+(5)/(2))/(6+2)=(x)/(18)`

`(3x+12+(5)/(2))/(8)=(x)/(18)`

Multiplying in cross

`(3x+12+(5)/(2))18=8x`

`54x+216+45=8x`

`54x-8x=-216-45`

`46x=-261`

`x=-(261)/(46)`