Question

Solve the rational equation: −5/2x+3/4x=−7/4.

Answer 1

`x=1`

Explanation:

Given equation is:

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

Simplifying the left side of the equation.

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

This is equivalent to:

`(-10x+3x)/(4)=-(7)/(4)`

This gives:

`(-7x)/(4)=-(7)/(4)`

This is equivalent to:

`x=1`

Answer 2

x = 1

Explanation:

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

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

- 10x + 3x = - 7

- 7x = - 7 ( divide both sides by - 7 )

x = 1