Question

ICS
EXERCISE 2.3
Solve the following equations and check your results.
1. 3x = 2x + 18 2. 51-3=3
2. 5t-3=3t-5
3.5x+9=5+3x
4.4z+3=6+2z
5.2x-1=14-x
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Answer 1

⊙Hello

Answers :-

1.3x = 2x +18

» 3x-2x = 18

» x = 18

Check

3(18)=2(18)+18

=) 54=54

2.5t-3=3t-5

» 5t-3t=-5+3

»2t = -2

t = -2/2

t = 1

Check :_

5(-1)-3=3(-1)-5

=) -5-3=-3-5

=) -8=-8

3.5x+9=5+3x

» 5x-3x= -9+5

»2x = -4

x = -4/2

x= -2

Check -

5(-2)+9=5+3(-2)

=) -10+9 = 5-6

=) -1=-1

4.2x-1=14-x

:- 2x+x = 1+14

:- 3x = 15

:- x = 15/3

:- x = 5

(Check)

2(5)-1=14-5

10-1 = 9

9=9

Answer 2

1)

3x = 2x + 18

x = 18

Check

3(18) = 2(18) + 18

54 = 54

2)

5t - 3 = 3t - 5

2t = -2

t = -1

Check

5(-1) - 3 = 3(-1) - 5

-5 -3 = -3 -5

-8 = -8

3)

5x + 9 = 5 + 3x

2x = -4

x = -2

Check

5 (-2) + 9 = 5 + 3 (-2)

-10 + 9 = 5 + (-6)

-1 = -1

4)

4z + 3 = 6 + 2z

2z = 3

z = 3/2

Check

4(3/2) + 3 = 6 + 2(3/2)

6 + 3 = 6 + 3

9 = 9

5)

2x - 1 = 14 - x

3x = 15

x = 5

Check

2(5) - 1 = 14 - (5)

10 - 1 = 14 - 5

9 = 9