Question

Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.

5=3x-1/4

Answer 1

x = 7

Explanation:

`5=(3x-1)/(4)`

multiply both sides by 4 (Multiplication property of equality)

`20=3x-1`

add both sides by 1 (Addition property of equality)

`21=3x`

divide both sides by 3 (Division property of equality)

`7 = x`

switch sides (Symmetric property of equality)

`x=7`

Answer 2

1 3/4

Explanation:

so the question will be done like this

5 =3x-1/4

The (-1/4) will go to the other side where 5 is and the equation becomes

5+1/4=3x which will be

7/4=3x hence you divide both sides by 3 to get the value of x as 1 as the whole number and 3/4 as the remainder