Question

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Answer 1

Question:- x-7/x-2=3/4

Now we will do the cross multiplication: -

4(x-7) =3(x-2)
4x-28=3x-6
4x-3x=-6+28
x=22

HOPE IT HELP YOU

Answer 2

$\dfrac{x - 7}{x - 2} = \dfrac{3}{4}$

Cross multiply

➾ $4(x\:-\:7)\:=\:3(x\:-\:2)$

Multiply the terms

➾ $4x\:-\:28\:=\:3x\:-\:6$

Move the like terms

➾ $4x\:-\:3x\:=\:-6\:+\:28$

Calculate

➾ $x\:=\:22$


∴ The value of x is $\blue{\boxed{\blue{\boxed{\green{\textsf{22}}}}}}$



Verification :-

$\dfrac{x - 7}{x - 2} = \dfrac{3}{4}$

➾ $4(x\:-\:7)\:=\:3(x\:-\:2)$

➾ $4x\:-\:28\:=\:3x\:-\:6$

➾ $4x\:-\:3x\:=\:-6\:+\:28$

➾ $x\:=\:22$

➾ $22\:=\:22$

∴ $\underline{LHS} = \underline{RHS}$ ✔✔