SOLUTION: How do you solve 6x+y=4 x-4y=19

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Question 1157852: How do you solve
6x+y=4
x-4y=19
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How? Read your lessons. First you learn about the Substitution Method. Later you learn about Elimination Method.

If you want substitution, then a couple or more ways to go but one of the easier may be:
6x+y=4
y=4-6x
substitute to
x-4(4-6x)=19
x-16+24x=19
25x=19+16
x=35/25
x=7/5
and you should know what to do from here...

Answer by ikleyn(52783) About Me  (Show Source):
You can put this solution on YOUR website!
.

From the first equation, express y = 4-6x  and substitute it into the second equation, replacing "y" there. You will get


   x - 4*(4-6x) = 19.


Simplify it step by step


    x  - 16 + 24x = 19

    25x - 16 = 19

    25x      = 19 + 16

    25x      = 35

      x      = 35%2F25 = 7%2F5.


Now substitute this found value of x into either of the two original equations and find y.


Can you complete the assignment on your own ?

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You may report me about your progress.

The method I used is called the SUBSTITUTION method.