Question

answer the following questions...

Answer 1

Answer :

1) 2 + y = 7
y = 7 - 2
y = 5

★ Check : L. H. S = 2+y
Putting the value of y
= 2+5 = 7
R. H. S = 7

2) 2a - 3 = 5
2a = 5 + 3
2a = 8
a = 8/2
a = 4

★ Check : L. H. S = 2a-3
Putting the value of a
= 2×4-3
= 8-3 = 5
R. H. S = 5

3) 10 - q = 6
-q = 6 - 10
-q = -4
q = 4

★ Check : L. H. S = 10-q
Putting the value of q
= 10-4 = 6
R. H. S = 6

4) 2t - 5 = 3
2t = 3 + 5
2t = 8
t = 8/2
t = 4

★ Check : L. H. S = 2t-5
Putting the value of t
= 2×4-5 = 8-5 = 3
R. H. S = 3

5) 14 = 27 - x
14 - 27 = - x
-13 = -x
13 = x

★ Check : L. H. S = 14
R. H. S = 27-x
Putting the value of x
= 27-13 = 14

6) 5(x-4) = 35
5x - 20 = 35
5x = 35 + 20
5x = 55
x = 55/5
x = 11

★ Check : L. H. S = 5(x-4)
Putting the value of x
= 5(11-4)
= 5×7 = 35
R. H. S = 35

7) -3x = 15
x = -15/3
x = -5

★ Check : L. H. S = -3x
Putting the value of x
= (-3)×(-5) = 15
R. H. S = 15

8) 5x - 3 = 3x - 5
5x - 3x = -5 + 3
2x = -2
x = -2/2
x = -1

★ Check = L. H. S = 5x - 3
Putting the value of x
= 5×-1-3 = -5-3 = -8
R. H. S = 3x-5
Putting the value of x
= 3×-1-5
= -3-5 = -8

9) 3y + 4 = 5y - 4
3y - 5y = -4 - 4
-2y = -8
y = -8/-2
y = 4

★ Check : L. H. S = 3y+4
Putting the value of y
= 3×4+4 = 12+4 = 16
R. H. S = 5y-4
Putting the value of y
= 5×4-4 = 20-4 = 16

10) 3(x-3) = 5(2x+1)
3x - 9 = 10x + 5
3x - 10x = 5 + 9
-7x = 14
x = -14/7
x = -2

★ Check : L. H. S = 3(x-3)
Putting the value of x
= 3(-2-3) = 3×-5 = -15
R. H. S = 5(2x+1)
Putting the value of x
= 5(2×-2+1)
= 5(-4+1)

Answer 2

(i) 2+y=7
y=7-2
y=5

Check: 2+y
=2+5
=7

(ii) 2a-3=5
2a=5+3
2a=8
a=8/2
a=4

Check: 2a-3
=2(4)-3
=8-3
=5

(iii) 10-q=6
-q=6-10
-q=-4
q=4

Check: 10-q
=10-4
=6

(iv) 2t-5=3
2t=5+3
2t=8
t=8/2
t=4

Check: 2t-5
=2(4)-5
=8-5
=3

(v) 14=27-x
-x=14-27
-x=-13
x=13

Check: 14=27-x
14=27-13
14=14

(vi) 5(x+4)=35
5x+20=35
5x=35-20
5x=15
x=15/5
x=3

Check: 5(x+4)
=5(3+4)
=5(7)
=35

(vii) -3x=15
x=15/-3
x=-5

Check: -3x
=-3(5)
=-15

(viii) 5x-3=3x-5
5x-3x=-5+3
2x=-2
x=-2/2
x=-1

Check: 5x-3=3x-5
5(-1)-3=3(-1)-5
-5-3=-3-5
-8=-8

(ix) 3y+4=5y-4
5y-3y=4+4
2y=8
y=8/2
y=4

Check: 3y+4=5y-4
3(4)+4=5(4)-4
12+4=20-4
16=16


(x) 3(x-3)=5(2x+1)
3x-9=10x+5
3x-10x=5+9
-7x=14
x=14/-7
x=-2

Check: 3(x-3)=5(2x+1)
3(-2-3)=5(2(-2)+1)
3(-5)=5(-4+1)
-15=5(-3)
-15=-15