6.4.1 Linear Equations, PT3 Practice


6.4.1 Linear Equations, PT3 Practice 1
Question 1:
Solve the following linear equations.
  (a)  4 – 3n = 5n – 4   
  (b) 4 m − 2 10 + m = 1 2  

Solution:
(a)
4 – 3n = 5n – 4   
–3n –5n = – 4 – 4   
–8n = – 8   
 8n = 8
n = 8/8 = 1
 
(b) 4 m − 2 10 + m = 1 2 2 ( 4 m − 2 ) = 10 + m 8 m − 4 = 10 + m 8 m − m = 10 + 4 7 m = 14 m = 14 7 m = 2


Question 2:
Solve the following linear equations.
(a) x 3 = 4 − x (b) 3 ( x − 2 ) 5 = 9
 
Solution:
(a) x 3 = 4 − x x = 3 ( 4 − x ) x = 12 − 3 x x + 3 x = 12 4 x = 12 x = 12 4 x = 3

(b) 3 ( x − 2 ) 5 = 9 3 ( x − 2 ) = 9 × 5 3 x − 6 = 45 3 x = 45 + 6 3 x = 51 x = 51 3 x = 17



Question 3:
Solve the following linear equations.
(a) 3 m 4 + 15 = 9 (b) 2 m + 8 = 3 ( m − 2 )

Solution:
(a) 3 m 4 + 15 = 9 3 m 4 = 9 − 15 3 m 4 = − 6 3 m = − 6 × 4 3 m = − 24 m = − 24 3 m = − 8
 
(b) 2 m + 8 = 3 ( m − 2 ) 2 m + 8 = 3 m − 6 2 m − 3 m = − 6 − 8 − m = − 14 m = 14

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