Question

_Solve_: 4x + 1/4x - 2 = 3x -2/ 3x - 3

plss ans ​

Answer 1

Step-by-step explanation:

Required Answer:-

${\dfrac {4x+1}{4x-2}}={\dfrac {3x-2}{3x-3}}$

• Use cross multiplication method

${:}\leadsto$$(4x+1)(3x-3)=(4x-2)(3x-2)$

${:}\leadsto$$4x(3x-3)+1 (3x-3)=4x (3x-2)-2 (3x-2)$

${:}\leadsto$${12x}^{2}-12x+3x-3={12x}^{2}-8x-6x+2$

${:}\leadsto$${12x}^{2}-9x-3={12x}^{2}-14x+2$

${:}\leadsto$${12x}^{2}-{12x}^{2}-9x+14x=2+3$

${:}\leadsto$$5x=5$

${:}\leadsto$$x={\dfrac{5}{5}}$

${:}\leadsto$${\underline{\boxed{\bf {x=1}}}}$