Solve for both systems: 3x + 5y = 53 and 4x - 5y = - 46

3x + 5y = 53

3x + 5y-5y = 53-5y

3x= 53-5y

3x/3= 53-5y/3

x=17.67-1.67y

4x - 5y = - 46

4(17.67-1.67y) - 5y = - 46

4(17.67) (4)(-1.67y) - 5y = - 46

70.68-6.68y-5y=-46

70.68-11.68y=-46

70.68-11.68y-70.68=-46-70.68

-11.58y=-116.68

-11.58y/-11.58=-116.68/-11.58

y=10

x=17.67-1.67y

x=17.67-1.67(10)

x=17.67-16.7=.97