Question

11) If (3x-5)/(4x +5) = 2/3, then x=
? *​

Answer 1

$\bf\dfrac{ 3x - 5 }{4x + 5} = \dfrac{2}{3} \\ \\ \sf{on \: cross \: multipication} \\ \\ \implies \sf{3(3x - 5) = 2(4x + 5)} \\ \implies \sf{9x - 15 = 8x + 10} \\ \implies \sf{9 x - 8x = 10 + 15 } \\ \implies{ \sf{ \boxed{ \sf{x = 25}}}}$

Extra information:

• Linear equation in 1 variable has only 1 solution.
• It is of the form ax + b where x is a variable.
• It was invented by Sir William Rowan Hamilton in 1843.
• We have used transposing method in solving the above question.