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

C)  has NO solution.

Step-by-step explanation:

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

we get:  10x - 3x = 6-52

or, 7x = -46

⇒

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

we get:  16x - 4x = 5-114

or, 12x = -109

⇒

Solving equation C)

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

⇒

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b