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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