Question

solve for X and Y :
31x + 43y = 117
43x + 31y = 105​

Answer 1

Answer:

x = 1

y = 2

please follow me

Answer 2

Step-by-step explanation:

31x+43y=117.....(1)

43x+31y=105.....(2?

Now,

31x+43y=117

=>31x=117-43y

=>x=117-43y/31.........(3)

Substitute 3rd equation into 2nd equation,

43x+31y=105

=>43*117-43y/31 +31y=105

=>5031-1849y/31 +31y=105

=>5031-1849y+961y/31=105

=>5031-888y/31=105

=>5031-888y=3255

=> -888y=3255-5031= -1776

=>888y=1776

=>y=1776/888

=>y=2

Now,Substitute the main value of y into 3rd equation,

x=117-43y/31

=117-43*2/31

=117-86/31

=31/31

=1

So,(x,y)=(1,2)