Question 27448
<pre>the equations for 2 lines that intersect at the point (1,0). 
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Equations of any line can all be written Ax + By = C

Since you know it goes through the point (1, 0), replace x by 1 and y by 0:

A(1) + B(0) = C
A = C

Now choose any number in the world at random for A and C to equal, and any
number in the world at random for B.  I will arbitrarily choose 3 for both
A and C and -2 for B.  So Ax + By = C becomes

3x - 2y = 3

Now do it again, but don't make the same choices as before.  This time, I
will arbitrarily choose 4 for both A and C and 7 for B. So Ax + By = C
becomes

4x + 7y = 4

explain how you know the answer is correct.

I will check the system 

3x - 2y = 3
4x + 7y = 4

to see if (x, y) = (1, 0) is the solution:

3(1) - 2(0) = 3
4(1) + 7(0) = 4

So I get 3 = 3 in the first and 4 = 4 in the second, so it is correct.

Edwin
AnlytcPhil@aol.com<pre></b>