2 x minus 1 by 2 minus 6 x minus 2 by 5 is equal to 1 by 3
Answers
Answered by
0
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
Similar questions