Question

y.
3x - 5y 3'
(ii) If a : b = 3: 11, find (15a - 3b) : (9a + 5b).​

Answer 1

Answer:

6 : 41

Step-by-step explanation:

( 15a - 3b ) / ( 9a + 5b )

= ( 15a/b - 3 ) / ( 9a/b + 5 ) [ divided numerator and denominator by b ]

= ( 15×3/11 - 3 ) / ( 9×3/11 + 5 ) [ substituted a/b = 3/11 ]

= ( 15×3 - 3×11 ) / ( 9×3 + 5×11 ) [ multiplied numerator and denominator by 11 ]

= ( 45 - 33 ) / ( 27 + 55 )

= 12 / 82

= 6 / 41