Question

4

1
5x
$x + šy
Use the work shown. Which expression is equivalent to
2 3 2 4 1.
39
Y-
X+-y?
5
5 3
X +
No
(3)
4
y -
2 2
O
x+
ch
5
9 34-5%
O
-Y
4 22 3
x + -+-y+=X
5
9
2 2
4
O
7
X
Colt
5
3
5
3 34
9
2.
31
7 2
X+-+y
5 9

Answer 1

`\frac13y-\frac75x+\frac23-\frac23y-\frac49`

Explanation:

`-\frac23y-\frac35x+\frac29-\frac45x+\frac13y`

Collect like terms:

`\implies -\frac23y+\frac13y-\frac35x-\frac45x+\frac29`

Combine like terms:

`\implies -\frac13y-\frac75x+\frac29`

`\frac13y-\frac75x+\frac23-\frac23y-\frac49`

Collect like terms:

`\implies \frac13y-\frac23y-\frac75x+\frac23-\frac49`

Combine like terms:

`\implies -\frac13y-\frac75x+\frac29`

Therefore,
`\frac13y-\frac75x+\frac23-\frac23y-\frac49` is equivalent to
`-\frac23y-\frac35x+\frac29-\frac45x+\frac13y`