What is the point of intersection between the equations 3x+5y=78 and 2x−y=0?

1 Answer
Prof_S
Mar 2, 2016

At the point (6,12), i.e. x=6 and y=12.

Explanation:

Multiply the second equation by 5. One gets 10x−5y=0. Add this to the first equation to get 13x=78. So, x=6.
Substituting 6 for x in the second equation yields 12−y=0 or, equivalently, y=12.

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