Solve for x: 6x-4y=3
2 answers:
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The altitude will be the geometric mean of the lengths, so
. The smaller leg is the hypotenuse of a right triangle sides 4 and 
so the usual trig cliche, hypotenuse 8.
Answer: 8
Answer: 8
There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...
... (x, y) = (4, 7)
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You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to
is given by
Here, that means
... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4
... y = (75·8-67·3)/57 = 399/57 = 7
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A (graphing) calculator greatly facilitates either of these approaches.
