Question

solve the following equations by systematic method and also verify the answer. 1. 2 X / 5 = 8 2. 2 x - 1 =3 3. 4 x + 5 = 13 4. 3/15 + 2 X = 8 5. 1/5x-1/3=1/2 6. 6x+3/7=-4​

Answer 1

Solution :

1)2x/5=8 verification :

x=8*5/2. 2*20/5=40/5

= 20. =8

therefore RHS=LHS

2)2x-1=3. verification:

2x=3+1=4. 2*2-1=4-1

x=4/2. =3

=2

therefore RHS=LHS

3)4x+5=13. verification:

4x=13-5 4*2+5=8+5

=8 =13

x=8/4

=2

therefore RHS=LHS

4)3/15+2x=8. verification :

2x=8-3/15 3/15+2(117/30)

=117/15 = 3/15+117/15

x=(117/15)/2 =120/15

=(117/15)*(1/2) =8

=117/30

therefore RHS=LHS

5)1/5x-1/3=1/2. verification :

1/5x=1/2+1/3 (1/5)(25/6)-1/3

=(3+2)/6 =25/30-1/3

=5/6 =5/6-1/3

x=(5/6)/(1/5) =(5-2)/6

=5/6*5 =3/6

=25/6. =1/2

therefore RHS=LHS

6)6x+3/7=-4. verification :

6x=-4-3/7. 6(-31/42)+3/7

6x=-31/7. =-31/7+3/7

x=(-31/7)/6. =-28/7

=(-31/7)*(1/6) =-4

=-31/42

therefore RHS=LHS

I hope you have understood

THANK U