Question

2 x minus 1 by 2 minus 6 x minus 2 by 5 is equal to 1 by 3​

Answer 1

Heya there,

Here is the answer you were looking for:

\begin{lgathered}\frac{2x - 1}{3} - \frac{6x - 2}{5} = \frac{1}{3} \\ \\ \frac{5(2x - 1) - 3(6x - 2)}{15} = \frac{1}{3} \\ \\ \frac{10x - 5 - 18x + 6}{15} = \frac{1}{3} \\ \\ \frac{ - 8x + 1}{15} = \frac{1}{3} \\\end{lgathered}

3

2x−1

−

5

6x−2

=

3

1

15

5(2x−1)−3(6x−2)

=

3

1

15

10x−5−18x+6

=

3

1

15

−8x+1

=

3

1

On cross-multiplying

\begin{lgathered}3( - 8x + 1) = 15(1) \\ \\ - 24x + 3 = 15 \\ \\ - 24x = 15 - 3 \\ \\ - 24x = 12 \\ \\ x = \frac{12}{ - 24} \\ \\ x = \frac{1}{ - 2} \\ \\ x = - \frac{1}{2}\end{lgathered}

3(−8x+1)=15(1)

−24x+3=15

−24x=15−3

−24x=12

x=

−24

12

x=

−2

1

x=−

2

1