Question

Question 3(Multiple Choice Worth 1 points)

(01.02 LC)
Solve for x: 3/4x + 5/4 = 4x
X=13/5
X=5/13
X=3/11
X=11/3

Answer 1

`x = (5)/(13)`

Explanation:

`(3)/(4) x + (5)/(4) = 4x`

Let's rewrite the equation so that we can combine like terms.

`(5)/(4) = 4x - (3)/(4) x \\ \\ (5)/(4) = (13)/(4) x`

Now, we can divide both sides by 13/4 using reciropcals.

`x = (5)/(4) / (13)/(4) = (5)/(4) * (4)/(13) \\ x = (5)/(13)`

Answer 2

Answer:
`x=(5)/(13)`

Explanation:

The given equation :
`(3)/(4)x+(5)/(4)=4x`

To solve the above equation , we first multiply 4 on both the sides , then we get

`4((3)/(4)x+(5)/(4))=4(4x)\\\\\Rightarrow\ 4*(3)/(4)x+4*(5)/(4)=16x\\\\\Rightarrow\ 3x+5=16x`

Now, Subtract 5x on both the sides , we get

`3x+5-3x=16x-3x\\\\\Rightarrow\ 5=13x\\\\\Rightarrow\ x=(5)/(13)`

Hence, the value of
`x=(5)/(13)`