Question

Which equation has NO solution? A) 10x + 5 2 = 3x + 6 B) 16x + 11 4 = 4x + 5 C) 8 − 6x 4 = 4 + 2x D) 18x − 10 2 = 9x − 5 in middle school

Answer 1

B) 16x+11/4 =4x+5

Step-by-step explanation

16x +11 4x+5

------------- = Multiply the 4 times 4x and times 5

4

After that it becomes 16x +11 = 16x +20 the x will cancel out and it becomes

11=20 that's why its a No solution

Answer 2

C)
`8 - 6x^(4)  = 4+ 2x` has NO solution.

Explanation:

Solving equation A) 10x + 5 2 = 3x + 6

we get: 10x - 3x = 6-52

or, 7x = -46

⇒
`x =- (46)/(7)`

Solving equation B) 16x + 11 4 = 4x + 5

we get: 16x - 4x = 5-114

or, 12x = -109

⇒
`x =- (109)/(12)`

Solving equation C)

`8  - 6x^(4)  = 4 + 2x \\or, 6x^(4)  + 2x = 4\\ or, 3x^(4)  + x = 2`

No such value of x exists.

Hence, the given equation has NO solution.

Solving equation D) 18x − 10 2 = 9x − 5

we get: 18x - 9x = -5 + 102

or, 9x = 97

⇒
`x = (97)/(9)`