Solve for both systems y + 6z = 55 and 3y+5z=61

y + 6z = 55

y + 6z-6z = 55-6z

y= 55-6z

3y+5z=61

3(55-6z )+5z=61

3(55) (3)(-6z )+5z=61

165-18z+5z=61

165-13z=61

165-165-13z=61-165

-13z=-104

-13z/-13=-104/-13

z=8

y= 55-6z

y= 55-6(8)

y= 55-48=7