Solve the system by graphing (by hand or with Excel)

3x +5y = 46 => x = (46-5y)/3

7x – y = 6  => x = (6+y)/7

Comparing the above two we have,

(46-5y)/3 = (6+y)/7

· 7*(46-5y) = 3*(6+y)

· 322 – 35y = 18+3y

· 38y = 322-18 = 304

· Y = 304/38 = 8

Putting the value of Y in above equation gives,

x = (6+y)/7 = (6+8)/7 = 14/7=2

Thus the solution is,

X = 2 and Y = 8.