Question

4. Solve each of the following equations.
(ii) 36-6x=11
(iii) 5x + 1 = 7
(iv) 3x - 1/4x + 2
(v) 6/7x - 1/7= 11
(vi) y+9 = 15 + 3y
(vii) 9y- 1 = 9- y
(viii) 1/2z - 4=6-13/2 z​

Answer 1

Step-by-step explanation:

2)Given equation is 36 - 6x = 11

=>36-11=6x

=>25=6x

=>x=25/6

Solution (X)=25/6.

3)Given equation is 5x+1=7

=>5x=7-1

=>5x=6

=>x=6/5

Solution (X)=6/5

4)Given equation is 3x-1/4=1/4x+2

=>3x-1/4x=2+1/4

=>(12x-3x)/4=(8+1)/4

=>9x/4=9/4

=>X=9/4×4/9

=>X=1

Solution (X)=1

5)Given equation is 6/7x-1/7=11

=>6/7x=11+1/7

=>6/7x=(77+1)/7

=>6/7x=78/7

=>6x=78

=>x=78/6

=>x=13

Solution (X)=13

6)Given equation is y+9 = 15+ 3y

=>15+3y=y+9

=>3y-y=9-15

=>2y=-6

=>y=-6/2

=>y=-3

7)Given equation is 9y- 1 = 9- y

=>9y+y=9+1

=>10y=10

=>y=10/10

=>y=1

Solution (y)=1

8)Given equation is 1/2z - 4=6-13/2 z

=>1/2z+13/2z=6+4

=>(z+13z)/2=10

=>14z/2=10

=>14z=10×2

=>14z=20

=>z=20/14

=>z=10/7

Solution (z)=10/7