Answer:
C and B
Step-by-step explanation:
(6)
× 
← cancel 3x - 7y on numerator and denominator
= 
× 
= 
= 
→ C
(7)
÷ 
Factorise the denominators of both fractions
x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares
4x - 12 ← factor out 4 from each term
= 4(x - 3)
Then rewrite as
÷ 
← cancel 8 and 4 by 4
= ÷ 
• leave first fraction, change ÷ to × , turn second fraction ' upside down'
= × 
← cancel x - 3 on numerator and denominator
= 
× 
← cancel 2 and 6 on numerator and denominator
= 
→ B
Answer:
Step-by-step explanation:
To compare the fractions we require them to have a common denominator.
The lowest common multiple of 3 and 7 is 21
Change both fractions into fractions with a denominator of 21
and 
= 
and 
The numerator 14 is greater than 12, hence
is the larger fraction
Answer:
x = 
Step-by-step explanation:
Given
+ 
- 
= 
Multiply through by wxyz to clear the fractions
2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )
2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )
2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )
x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )
x = 
( multiply numerator/ denominator by - 1 )
x =
Answer:
Step-by-step explanation:
1. k - 5
2. 31g
3. b - 43
4. u - 36
5. 15r
6. 21/q
7. 7 + j or j + 7
8. 33/n
9. a + 23
10. 44m
11. c + 15
12. 10 -f
13. 39/e
14. k - 29
15. s - 38
16. v + 28
17. x - 11
18. y + 26
