Question

Linear equations solve and check
1. 3(x+4) = 12
2. 2x + 5 - 13
3. p - 6 = 14 - p​

Answer 1

Question

Linear equations solve and check

1. 3(x+4) = 12

2. 2x + 5 = 13

3. p - 6 = 14 - p

Solution

1. 3(x+4) = 12

=> 3x+12 = 12

=> 3x = 12 - 12

=> 3x = 0

= x = 0

check

putting the value of x

3( x +4) = 12

= 3 ( 0 +4 ) = 12

= 3 × 4 = 12

= 12 = 12 --- checked

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2. 2x +5 = 13

=> 2x = 13 - 5

=> 2x = 8

=> x = 4

check

putting the value of x

2x + 5 = 13

2 × 4 + 5= 13

8 + 5 = 13

13 = 13 --- checked

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3. p- 6 = 14-p

=> p + p = 6 + 14

=> 2p = 20

=> p = 10

putting the value of p

p - 6 = 14 - p

LHS

p-6

= 10 - 6 = 4

RHS

14-p

14- 10 = 4

LHS = RHS checked