SOLUTION: Use Elimination to solve {{{x/3+4y=30}}} and {{{2x-y=5}}}

Question 59808This question is from textbook Alegbra Concepts and Applications
: Use Elimination to solve

and
This question is from textbook Alegbra Concepts and Applications

Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
(1)
(2)
Add y to both sides of equation (2) to get
Then subtract 5 from both sides and you get
Replace y with in (1) and you get
(3)
Multiply 4 by 2x-5 to get 8x-20 so (3) becomes

Add 20 to both sides to get
(4)
Add to to get
But, so
So, replacing with in (4) we get

Now, multiply both sides by and we get or x=6.
Since x=6, we replace x with 6 in (2) and get or so y=7.
To verify that x=6, y=7 is correct we use these values in (1) and (2):
From (1): or which is indeed 30, and
From (2): or which is indeed 5.
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