Question

solve the linear equation
47x+31y=63
31x+47y=15

Answer 1

Answer:

x=2 and y=-1

Step-by-step explanation:

47x+31y=63 ---------(1)

31x+47y=15----------(2)

as this is a special case in which firstly the term are added and in eq 2 they are added in the reverse case.

So,firstly we will add the both equation and then we will subtract these two equations.

Add eq 1 and eq 2

78x+78y=78

Dividing whole equation by 78

x+y=1-----------(3)

Subtract eq 1 and eq 2

16x-16y=48

Dividing the whole equation by 16

x-y=3-----------(4)

Now adding equation 3 and equation 4

2x=4

x=2

Putting the value of x in equation 3 ( we can also put the value of x in any of the equation )

2+y=1

y=-1