Question

if 15x+17y=21 and 17x+15y=11,then find the vale of x+y.​

Answer 1

Answer:

x + y = 1

Step-by-step explanation:

15x+17y=21-------eq 1

17x+15y=11-------eq 2

Adding eq 1 and 2

15x+17y=21

+17x+15y=11

__________

32x+32y=32

Dividing both side by 32

x+y=1

Answer 2

15x+17y=21 .....(1)

17x+15y=11 .....(2)

17×eqn(1)−15× eqn(2) gives

255x+289y−255x−225y=357−165

⇒64y= 192

⇒y= 192/64

= 3

Substitute the value of y=3 in (1) we get

15x+17×3=21

⇒15x=21−51=−30

∴x= -30/15

=−2

Hence x=−2,y=3

And x+y=−2+3=1

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