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Simplify and solve the linear equation 
15(y − 4) − 2(y − 9) + 5(y + 6) = 0
⇒ 15y − 60 − 2y + 18 + 5y + 30 = 0 (Opening the brackets)
⇒ 18y − 12 = 0
⇒ 18y = 12
⇒ 
Solve the linear equation 
x/2 -x/3=1/4 +1/5
(3x-2x)/(2*3)=(4+5)/(4*5)
x/6=9/20
x=9/20*6=54/20=27/10=2.7
x=2.7 is the solution
Solve the linear equation 
L.C.M. of the denominators, 2, 4, and 6, is 12.
Multiplying both sides by 12, we obtain
6n − 9n + 10n = 252
⇒ 7n = 252
Solve the linear equation 
L.C.M. of the denominators, 2, 3, and 6, is 6.
Multiplying both sides by 6, we obtain
6x + 42 − 16x = 17 − 15x
⇒ 6x − 16x + 15x = 17 − 42
⇒ 5x = −25
Solve the linear equation 
cross multiplying above equation,
5(x-5)=3(x-3)
5x-25=3x-9
5x-3x=25-9
2x=16
x=16/2=8
Solve the linear equation 
L.C.M. of the denominators, 3 and 4, is 12.
Multiplying both sides by 12, we obtain
3(3t − 2) − 4(2t + 3) = 8 − 12t
⇒ 9t − 6 − 8t − 12 = 8 − 12t (Opening the brackets)
⇒ 9t − 8t + 12t = 8 + 6 + 12
⇒ 13t = 26
Solve the linear equation 
......................(1)
multiplying (1) by 6(LCM of denominators 2 and 3)
6m-3(m-1)=6-2(m-2)
6m-3m+3=6-2m+4
3m+3=10-2m
3m+2m=10-3
5m=7
m=7/5
Simplify and solve the linear equation 
3(t − 3) = 5(2t + 1)
⇒ 3t − 9 = 10t + 5 (Opening the brackets)
⇒ −9 − 5 = 10t − 3t
⇒ −14 = 7t
Simplify and solve the linear equation 
3(5z − 7) − 2(9z − 11) = 4(8z − 13)−17
⇒ 15z − 21 − 18z + 22 = 32z − 52 − 17 (Opening the brackets)
⇒ −3z + 1 = 32z − 69
⇒ −3z − 32z = −69 − 1
⇒ −35z = −70
⇒ 
Simplify and solve the linear equation 
0.25(4f − 3) = 0.05(10f − 9)
Multiplying both sides by 20, we obtain
5(4f − 3) = 10f − 9
⇒ 20f − 15 = 10f − 9 (Opening the brackets)
⇒ 20f − 10f = − 9 + 15
⇒ 10f = 6
⇒ 
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