Question

Select the correct answer.

Which equation, when solved, gives 8 for the value of x?
DICT
A. 5/2x + 7/2= 3/4x+14
B. 5/4x - 9= 3/2x -12
c. 5/4x -2 = 3/2x- 4
D. 5/2x - 7 = 3/4x + 14

Answer 1

It's C

Explanation:

Answer 2

c.

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

Explanation:

a.

`(5)/(2) x +(7)/(2) =(3)/(4) x+14 \\(5)/(2)x -(3)/(4) x=14-(7)/(2) \\(10-3)/(4) x =(28-7)/(2) \\(7)/(4) x =(21)/(2) \\x = (21)/(2) * (4)/(7) = 6 \\`

b.

`(5)/(4) x -9 = (3)/(2) x-12 \\(5)/(4) x - (3)/(2) x= -12 + 9 \\(5-6)/(4) x = -3 \\(-1)/(4) x = -3 \\x = -3 * -4 \\x = 12`

c.

`(5)/(4) x-2=(3)/(2) x-4 \\(5)/(4) x-(3)/(2) x=-4+2 \\(5-6)/(4)x=-2 \\(-1)/(4) x = -2 \\x = -2 * -4 \\x = 8`

d.

`(5)/(2) x -7 = (3)/(4) x+14 \\(5)/(2)x -(3)/(4) x=14+7 \\(10-3)/(4) x =21 \\(7)/(4) x =21 \\x = 21 * (4)/(7) = 12 \\`

You could also replace x for 8 in every equation and see if both sides give the same answer