Nine less than the product of 4 and a number is 23

Mathematics

2 answers:

borishaifa [10]2 years ago

7 0

Step-by-step explanation:

4x - 9 = 23

4x = 32

x = 8

the number is 8.

alex41 [277]2 years ago

6 0

<h3><u>Question</u><u>:</u><u>-</u></h3>

nine less than the product of 4 and a number is 23.

<h3><u>Answer</u><u>:</u><u>-</u></h3>

x = 8

<h3><u>Explanation</u><u>:</u><u>-</u></h3>

nine less than the product of 4 and a number is 23 → 4x - 9 = 23

=> 4x - 9 = 23

=> 4x = 23+9

=> 4x = 32

=> x = 32/4

=> x = 8

-----------------------------------------------------------

substituting x = 8 in the equation,

=> 4(8) - 9 = 23

=> 32-9 = 23

=> 23 = 23 ( varified )

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Kindly solve this question 6 too !!

Shkiper50 [21]

Answer:

$x=1$

Step-by-step explanation:

$~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1$