In this page equations3 and 4 we are going to see solution for third and fourth questions.
Question 3:
Solve the equation ( 2 x - 7 )/5 + ( x + 9 )/15 = ( 2 x - 2 )/5
Solution:
( 2 x - 7 )/5 + ( x + 9 )/15 = ( 2 x - 2 )/5
Taking L.C.M
3 ( 2 x - 7 )/(5 x 3) + ( x + 9 )/15 = ( 2 x - 2 )/5
3 ( 2 x - 7)/15 + ( x + 9 )/15 = (2 x - 2)/5
(6 x - 21)/15 + ( x + 9 )/15 = ( 2x - 2)/5
( 6 x - 21 + x + 9 )/15 = ( 2 x - 2 )/ 5
( 6 x + x - 21 + 9 )/15 = ( 2 x - 2 )/5
( 7 x - 12)/15 = ( 2x - 2 )/5
5 ( 7 x - 12 ) = 15 ( 2x - 2)
35 x - 60 = 30 x - 30
35 x - 30 x = - 30 + 60
5 x = 30
x = 30/5
x = 6
Checking:
( 2 (6) - 7 )/5 + ( 6 + 9 )/15 = ( 2
(6) - 2 )/5
( 12 - 7 )/5 + 15/15 = (12 - 2)/5
( 5 /5 ) + 1 = 10/5
1 + 1 = 2
2 = 2
Question 4:
Solve the equation ( 3 x + 41 )/2 + ( x - 3 )/5 = ( 9 - 2 x )/6
Solution:
(3 x + 41)/2 + (X - 3)/5 = (9 - 2 x)/6
Taking L.C.M
(3 x + 41)/2 + (X - 3)/5 = (9 - 2 x)/6
5 (3 x + 41)/(2 x 5) + 2 (x - 3)/(5 x 2) = (9 - 2 x)/6
(15 x + 205)/10 + (2 x - 6)/10 = (9 - 2 x)/6
(15 x + 205 + 2 x - 6)/10 = (9 - 2 x)/6
(15 x + 2 x + 205 - 6) /10 = (9 - 2x)/6
(17 x + 199)/10 = (9 - 2 x)/6
6 (17 x + 199) = 10 (9 - 2 x)
102 x + 1194 = 90 - 20 x
102 x + 20 x = 90 - 1194
122 x = -1104
x = -1104/122
x = -552/61
Checking:
( 3 x + 41 )/2 + ( x - 3 )/5 = ( 9 - 2 x
)/6
[3 (-552/61) + 41]/2 + [(-552/61) - 3 )]/5 = [9 - 2(-552/61)]/6
[(-1656/61) + 41]/2 + [(-552 - 3(61))/61]/5 = [(9+1104/61)]/6
(-1656+41(61)/(2 x 61)+(-552-183)/(61x5)=(9(61)+1104)/(61x6)
(-1656 + 2501)/122 + (-735/305) = (549+1104)/366
( 845/122) + (-735/305) = 1653/366
(845 x 305)/(122x 305) + (-735x122)/(305x122) = 1653/366
(257725/37210) + (-89670/37210) = 1653/366
(257725 - 89670)/37210 = 1653/366
168055/37210 = 1653/366
4.51 = 4.51
equations3 and 4
Mar 24, 23 05:25 AM
Mar 24, 23 05:23 AM
Mar 22, 23 09:38 PM