How do I use a graph to solve the system of equations 3x+4y=10 and xy=1?

1 Answer
Jul 9, 2015

You graph the equations and see where they intersect.

Explanation:

Your equations are

3x+4y=10
xy=1

Let's rearrange these to

(1) y=14(103x)=34x+52
(2) y=x1

Plot the graph of Equation 1.

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Now add the graph for Equation 2.

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The two lines intersect at (2,1).

The solution is x=2, y=1.

Check:

3x+4y=3×2+4×1=6+4=10

xy=21=1