Question

Solve both equations.

Answer 1

Equation 1:

Answer:

x = 1.22

Explanation:

`(5x-1)/(8) -(5-7x)/(2) = (3(6-x))/(6)`

`(2(5x-1) - 8(5-7x))/(16) = (3(6-x))/(6)`

`((10x-2) - (40-56x))/(16) = (3(6-x))/(6)`

`((10x-2-40+56x))/(16) = (3(6-x))/(6)`

`((66x-42))/(16) = (3(6-x))/(6)`

`((66x-42))/(16) = ((18-3x))/(6)`

`(66x-42) * 6 = (18-3x) * 16`

`(396x-252) = (288-48x)`

`(396x +48x) = (288+252)`

`444x = (540)`

`x = (540)/(444)`

x = 1.22

Equation 2:

Answer:

x = -13.97

Explanation:

`(x)/(3) - (7(x-2))/(9) = 4- (2x-5)/(6)`

`(9x-3(7(x-2)))/(27) = 4- (2x-5)/(6)`

`(9x-3(7x-14)))/(27) = 4- (2x-5)/(6)`

`(9x-(21x-42)))/(27) = 4- (2x-5)/(6)`

`(9x-(21x-42))/(27) = (24 - (2x-5))/(6)`

`(-12x+42)/(27) = (-2x+29)/(6)`

`(-12x+42) * 6 = (-2x+29) * 27`

`(-72x+252) = (-34x+783)`

`(252-783) = (-34x +72x)`

`(-531) = (38x)`

`x =\frac {-531}{38}`

x = -13.97