Question

7x + 5y = 29
21x - 25y = -33

Answer 1

`7x + 5y = 29|\cdot5\\ 21x - 25y = -33\\\\ 35x+25y=145\\ \underline{21x-25y=-33}\\ 56x=112\\ x=2\\\\ 7\cdot2+5y=29\\ 14+5y=29\\ 5y=15\\ y=3\\\\ \boxed{(x,y)=(2,3)}`

Answer 2

5*(7x + 5y = 29)
+ 21x - 25y = -33

35x + 25y = 145
+ 21x - 25y = -33
56 x + 0y = 112

56x = 112
x = 2

Plug the x back in to the original equation to solve for y.

7x + 5y = 29
7(2) + 5y = 29
14 + 5y = 29
5y = 15
y = 3

21x - 25y = -33
21(2) - 25y = -33
42 - 25y = -33
-25y = -75
y = 3

x = 2 and y = 3