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

Answer:

C) $8 - 6x^{4}  = 4+ 2x$  has NO solution.

Step-by-step explanation:

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

we get:  10x - 3x = 6-52

or, 7x = -46

⇒ $x =- \frac{46}{7}$

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

we get:  16x - 4x = 5-114

or, 12x = -109

⇒ $x =- \frac{109}{12}$

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

⇒ $x = \frac{97}{9}$

Answer 2

Answer:

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