Solve the following equations. Check your result in each case. 2x-1/3-6x-2/5-1/3
Answers
Answer:
Answer:
The value of x is x=-\frac{1}{2}x=−
2
1
Step-by-step explanation:
Given : Expression \frac{2x-1}{3}-\frac{6x-2}{5}=\frac{1}{3}
3
2x−1
−
5
6x−2
=
3
1
To find : Solve the expression ?
Solution :
Expression \frac{2x-1}{3}-\frac{6x-2}{5}=\frac{1}{3}
3
2x−1
−
5
6x−2
=
3
1
Taking LCM,
\frac{5(2x-1)-3(6x-2)}{15}=\frac{1}{3}
15
5(2x−1)−3(6x−2)
=
3
1
\frac{10x-5-18x+6}{15}=\frac{1}{3}
15
10x−5−18x+6
=
3
1
\frac{1-8x}{15}=\frac{1}{3}
15
1−8x
=
3
1
Cross multiply,
3(1-8x)=153(1−8x)=15
3-24x=153−24x=15
24x=-1224x=−12
x=-\frac{12}{24}x=−
24
12
x=-\frac{1}{2}x=−
2
1
Therefore, The value of x is x=-\frac{1}{2}x=−
2
1
Answer:
Answer:
The value of x is x=-\frac{1}{2}x=−21
Step-by-step explanation:
Given : Expression \frac{2x-1}{3}-\frac{6x-2}{5}=\frac{1}{3}32x−1−56x−2=31
To find : Solve the expression ?
Solution :
Expression \frac{2x-1}{3}-\frac{6x-2}{5}=\frac{1}{3}32x−1−56x−2=31
Taking LCM,
\frac{5(2x-1)-3(6x-2)}{15}=\frac{1}{3}155(2x−1)−3(6x−2)=31
\frac{10x-5-18x+6}{15}=\frac{1}{3}1510x−5−18x+6=31
\frac{1-8x}{15}=\frac{1}{3}151−8x=31
Cross multiply,
3(1-8x)=153(1−8x)=15
3-24x=153−24x=15
24x=-1224x=−12
x=-\frac{12}{24}x=−2412
x=-\frac{1}{2}x=−21
Therefore, The value of x is x=-\frac{1}{2}x=−21