Question

7x + 10y = 37
4x + 5y = 19

Answer 1

you may solve by elimination method:

multiply equation 2 by -2; make linear combination with equation 1

7x + 10y = 37
-8x + -10y = -38
============
-x =-1
x=1

now sub x=1 into any equation above to find y; I choose the original equation 2

4(1) + 5y = 19 (sub x=1)
5y = 19-4 (subtract 4)
y=3 (divide by 5)

the solution is x=1; y=3, or
you may write it as an ordered pair (1, 3)