Question

4/3x-3/4x=7 find the x​

Answer 1

Answer:

after cross multiplication,

16x-9x=7 7x=7 x=1

Answer 2

Answer:

12

Step-by-step explanation:

$\frac{4}{3} x - \frac{3}{4} x = 7 \\ \\ \frac{16x}{12} - \frac{9 x}{12 } = 7 \\ \\ \frac{16x - 9 x}{12} = 7 \\ \\ \frac{7x}{12 } = 7 \\ \\ x = 7 \times \frac{12}{7 } \\ \\ since \: 7 \: and \: 7gets \: cancelled \: and \: \frac{7}{7} = 1 \\ \\ therefore \: x = 12$

$\frac{4}{3} \times 12 - \frac{3}{4} \times 12 = 7 \\ \\ since \: 3 \: and \: 12 gets \: cancelled \: by \: 3table \: \: and \: similarly \: 4 \: and \: 12 \: are \: cancelled \: by \: \\ 4table. \\ (4 \times 4) - (3 \times 3) = 7 \\ 16 \: \: \: \: \: \: - \: \: \: \: \: 9 \: \: \: \: \: \: \: \: \: \: = \ \: \: 7 \\ 7 = 7 \\ since \: \: lhs = rhs \\ hence \: verified$

verification: