Question

Consider the equation below.
3/4 (24 – 16x) = - Î (18x – 27)
How many solutions does the equation have?
(A) one, x = 0
B
one, x = -27/8
C) no solutions
D) infinitely many solutions​

Answer 1

Answer:

The equation has no solutions .

Step-by-step explanation:

Given as :

The linear equation is

$\dfrac{3}{4}$(24 -16 x) = $\dfrac{-2}{3}$(18 x -27)

Or, $\dfrac{3}{4}$ ×24 - $\dfrac{3}{4}$ × 16 x =  $\dfrac{-2}{3}$ × 18 x -  $\dfrac{-2}{3}$ × 27

Or,  $\dfrac{3}{4}$ ×24 - $\dfrac{3}{4}$ × 16 x =  $\dfrac{-2}{3}$ × 18 x + $\dfrac{2}{3}$ × 27

Or, $\frac{3\times 24}{4}$ -  $\frac{3\times 16 x}{4}$ =  $\frac{-2\times 18 x}{3}$ + $\frac{2\times 27 x}{3}$

Or, 3 × 6 - 3 × 4 x = - 2 × 6 x + 2 × 9

Or, 18 - 12 x = - 12 x + 18

Or, 18 - 18 = - 12 x + 12 x

or, 0 = 0

∵ The linear equation has no variables , so the equation has no solution

Hence,The equation has no solutions . Answer