Question

Can u help me with another problem .

Problem: Which of these following equations has no solution of y=2? Select three apply

A:3(X+4)=16x-14
B: 5x-11=6x-x-11
C:4x+9=2(2x+9)
D:12+7=-2x-3)+16x
E:1/2x=4

Answer 1

In order to find which Equation does no result in a Solution of X = 2, We need to solve all the Equations one by one and check the result obtained.

✿ Option (A)

Given : 3(X + 4) = 16X - 14

⇒ 3X + 12 = 16X - 14

⇒ 16X - 3X = 14 + 12

⇒ 13X = 26

⇒ X = 2

This Equation has a Solution : X = 2. So, This is not the Equation we are looking for. .

✿ Option (B)

Given : 5X - 11 = 6X - X - 11

⇒ 5X - 11 = 5X - 11

The Equations are Both the Same. So, it has Infinitely Many Solutions which Includes the Solution of X = 2. Hence, This is not the Equation we are looking for.

✿ Option (C)

Given : 4X + 9 = 2(2X + 9)

⇒ 4X + 9 = 4X + 18

⇒ 4X - 4X = 18 - 9

⇒ 0 = 9

This Equation has No Solution.

Hence, This Equation has No Solution of X = 2

✿ Option (D)

Given : 12 + 7 = -(-2X - 3) + 16X

⇒ 19 = 2X + 3 + 16X

⇒ 18X = 19 - 3

⇒ 18X = 16

`\mathsf{\implies X = (16)/(18)}`

This Equation has No Solution of X = 2

✿ Option (E)

`\mathsf{Given : (1)/(2)(X) = 4}\\\\\mathsf{\implies X = (4 * 2) = 8}`

This Equation has No Solution of X = 2

Hence : The Equations which has No Solution of X = 2 are C - D - E