Question

Choose all that correctly solve for x.

A. 5/2 x = 15/2
x = 3
B. x + 7/2 = 7
x = 7/2
C. x + 3 = 21/5
x = 5/6
D. 5x = 11/2
x = 10/11.

Answer 1

Options: A, B, and C correctly solve for x.

Explanation:

A).

`(5)/(2) x` =
`(15)/(2)`

Multiplying both sides by 2 gives;

5x = 15

x = 15 ÷ 5 = 3

∴ This option correctly solve for x.

B).

x +
`(7)/(2)` = 7

x = 7 -
`(7)/(2)` =
`(14)/(2) -(7)/(2) = (7)/(2)`

∴ This option correctly solve for x.

C).

x + 3 =
`(21)/(5)`

x =
`(21)/(5) - (15)/(5) = (6)/(5)`

But the option give x as 5/6 hence this option does not correctly solve for x.

D).

5x = 11/2

x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10

But the option gives x as 10/11 so it does not correctly solve for x.