Question

(x+3)/(x-2)=9/4 value of x ?​

Answer 1

Answer:

6

Step-by-step explanation:

$\frac{x+3}{x-2}$=$\frac{9}{4}$

We, have to do cross multiplication as both, LHS and RHS is is fraction...

=4(x+3)=9(x-2)

= 4x+12=9x-18

=12+18=9x-4x

=30=5x

=$\frac{30}{5}$=x

=x=6

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Answer 2

Answer:

$\color{yellow}\sf{\pmb{6}}$

Step-by-step explanation:

$\frac{x + 3}{x - 2} = \frac{9}{4} \\ (x + 3)4 = (x - 2)9 \\ 4x + 12 = 9x - 18 \\ 12 + 18 = 9x - 4x \\ 30 = 5x \\ x = \frac{30}{5} \\\color{yellow}\sf{\pmb{x = 6}}$