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Answer 1

1. ans in pic

2.(a+b)=6k

(b+c)=7k

(c+a)=8k

Now, we get addition of LHS & RHS

2a+2b+2c=21k

2(a+b+c)=21k

2(14)=21k —————- [given - (a+b+c)=14]

28=21k

k=28/21=4/3 ———————(1)

Since,

a+b+c=14

c=14-(a+b)

we have,

a+b=6k

a+b=6(4/3) ——————-from 1

a+b=8

now,

c=14-(a+b)

c=14–8

c=6

3.x+y=8x+y=8

z−w=6z−w=6

x+z=13x+z=13

y+w=8y+w=8

Firstly, I notice that x+y=y+w∴x=wx+y=y+w∴x=w

So, revising the equations:

x+y=8x+y=8

x+z=13x+z=13

z−x=6z−x=6

If we rearrange the last one as z=6+xz=6+x, we can plug it into the middle to get 2x+6=132x+6=13. We can easily figure out that x=3.5x=3.5.

3.5+y=8∴y=4.53.5+y=8∴y=4.5

3.5+z=13∴z=9.53.5+z=13∴z=9.5

The answer is:

3.5 4.5

9.5 3.5

4.distriputive property

Answer 2

Answer:

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