Question

solve for x and y 47x+31y=63 and 31x+47y=15

Answer 1

add both equation , we get ...
78x +78y=78
x+y=1------(1)

subtract both equation, we get ...
16x-16y=48
x-y= 3-----(2)

solve equations (1) and (2)
x=2 y= -1 ....

Answer 2

Answer:

7x+31y=63(eqn 1)

31x+47y=15(eqn 2)

adding both eqn,we get

78x+78y=78

dividing this eqn by 78,we get

x+y=1 (be it eqn 3)

subtracting eqn 1 and eqn 2,we get

16x-16y=48

dividing this eqn by 16, we get

x-y=3(be it eqn 4)

using elimination method for eqn 3and eqn4

x+y=1

x-y=3

2x=4

x=2

putting value of x in x+y=1,by solving we get

y=-(negative)1

therefore

x=2

y=-1

Step-by-step explanation: