SOLUTION: Use the substitution method to solve the following system of equations. (1) 3x + 4y = 8 (2) x/4 + y/3 = 1

Algebra ->  Expressions-with-variables -> SOLUTION: Use the substitution method to solve the following system of equations. (1) 3x + 4y = 8 (2) x/4 + y/3 = 1      Log On


   



Question 1019996: Use the substitution method to solve the following system of equations.
(1) 3x + 4y = 8
(2) x/4 + y/3 = 1

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Use the substitution method to solve the following system of equations.
(1) 3x + 4y = 8
(2) x/4 + y/3 = 1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3x + 4y = 8,     (1)
x/4 + y/3 = 1.   (2)

Multiply equation (2) by 3*4 = 12 (both sides). You will get

3x + 4y = 12     (3)

instead of (2).

Now you have this system of two equations

3x + 4y = 8,     (1)
3x + 4y = 12.    (3)

Their left side are identical, while right sides are different,

It means that the system has no solution.