Question 404823
Using Elimination method:
4x-9y = 61 .......Eqtn I
10x+3y = 25.......Eqtn II

Multiply Eqtn I: by x10 to eliminate x: 40x-90y=610
Multiply Eqtn II: by x4 to eliminate x: 40x+12y=100

Subtract:                                0-102y=510
Divide through by -102:                       y=-5

Substitute for y in any of the Eqtn above to find x:

Lets use Eqtn I: 4x-9y = 61
                 4x-9(-5) = 61
                 4x+45 = 61
                 4x = 61-45
                 4x = 16
Divide through 4:
                  x=4

                 (x,y)(4,-5)