7x + 5y = 2921x - 25y = -33
\(7x + 5y = 29|\cdot5\\ 21x - 25y = -33\\\\ 35x+25y=145\\ \underline{21x-25y=-33}\\ 56x=112\\ x=2\\\\ 7\cdot2+5y=29\\ 14+5y=29\\ 5y=15\\ y=3\\\\ \boxed{(x,y)=(2,3)}\)
5*(7x + 5y = 29) + 21x - 25y = -33 35x + 25y = 145+ 21x - 25y = -33 56 x + 0y = 11256x = 112x = 2Plug the x back in to the original equation to solve for y. 7x + 5y = 297(2) + 5y = 2914 + 5y = 295y = 15y = 321x - 25y = -3321(2) - 25y = -3342 - 25y = -33-25y = -75 y = 3x = 2 and y = 3
