Question

Solve 47x+31y=63 , 31x+47y=15

Answer 1

This question can be solved algebraically as well as graphically.

Since the method is not mentioned in the question, I would like to solve it algebraically and then help you in solving the problem graphically.

Multiply first equation with 31 and second equation with 47

Then we get

1457x+961y=1953
1457x+2209y=705

Subtracting them, we get

-1248y=1248

y=-1

Substituting the value of y in any equation, we get x=2

Now to solve this graphically, find ordered pairs satisfying the equations and draw the graphs separately. Now find the intersecting point. This is the required solution. Solution can be obtained precisely by using a graph paper