Question

3
x-3
6
Solve for x
3/5x-3
÷ 1/3x-1=6/5​

Answer 1

ANSWER:

The Given equation is :-

\begin{gathered} \frac{ \frac{2}{3}x + 1}{x + \frac{1}{4} } = \frac{5}{3} \\ \end{gathered}

x+

4

1

3

2

x+1

=

3

5

Now, what we need to do is, just solve the L.H.S. first and then, keep it equal to the R.H.S.

Solving the L.H.S. , we get:-

=》 \begin{gathered}\frac{2x + 3}{3} \div \frac{4x + 1}{4}\\\end{gathered}

3

2x+3

÷

4

4x+1

Simplify it more :-

=》 \begin{gathered}\frac{8x + 12}{12x + 3}\\\end{gathered}

12x+3

8x+12

Now that we have the simplified form of L.H.S. , we can keep it equal to the R.H.S. :-

=》 \begin{gathered}\frac{8x + 12}{12x + 3} = \frac{5}{3}\\\end{gathered}

12x+3

8x+12

=

3

5

Now, just keep on simply, simplifying it :-

=》 24x + 36 = 60x + 15

=》 36 - 15 = 60x - 12x

Some more steps to go :-

=》 21 = 36x

Last one step :-

=》 x = \begin{gathered}\frac{21}{36}\\\end{gathered}

36

21

Just divide and Get the answer :-

=》 x = \begin{gathered}\frac{7}{12}\\\end{gathered}

12

7

Answer 2

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