SOLUTION: The sum of the digits of a two-digit number is 8. If the number is multiplied by 4, the result is 104. Write and solve a system of equations. Find the number. I thought the syst

Algebra ->  Equations -> SOLUTION: The sum of the digits of a two-digit number is 8. If the number is multiplied by 4, the result is 104. Write and solve a system of equations. Find the number. I thought the syst      Log On


   

Question 560926: The sum of the digits of a two-digit number is 8. If the number is multiplied by 4, the result is 104. Write and solve a system of equations. Find the number.
I thought the system is x+y=8 and 4z=104
Although then I thought that the couldn't be solved by graphing becuase there is no z-axis, no substitution because the variables aren't the same to plug back into, and not elimination because there is not two like variables to be the same but opposite and eliminate. I know the number is 26 but I dont know the equations.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
t = tens digit ; u = units digit

"The sum of the digits of a two-digit number is 8" ___ t + u = 8

"If the number is multiplied by 4, the result is 104" ___ 4(10t + u) = 104