document.write( "Question 27448: write the equations for 2 lines that intersect at the point (1,0). explain how you know the answer is correct. \n" ); document.write( "

Algebra.Com's Answer #14957 by AnlytcPhil(1806) $\"\"$ $\"About$

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the equations for 2 lines that intersect at the point (1,0). 
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document.write( "Equations of any line can all be written Ax + By = C\r
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document.write( "Since you know it goes through the point (1, 0), replace x by 1 and y by 0:\r
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document.write( "A(1) + B(0) = C
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document.write( "A = C\r
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document.write( "Now choose any number in the world at random for A and C to equal, and any
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document.write( "number in the world at random for B.  I will arbitrarily choose 3 for both
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document.write( "A and C and -2 for B.  So Ax + By = C becomes\r
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document.write( "3x - 2y = 3\r
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document.write( "Now do it again, but don't make the same choices as before.  This time, I
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document.write( "will arbitrarily choose 4 for both A and C and 7 for B. So Ax + By = C
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document.write( "becomes\r
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document.write( "4x + 7y = 4\r
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document.write( "explain how you know the answer is correct.\r
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document.write( "I will check the system \r
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document.write( "3x - 2y = 3
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document.write( "4x + 7y = 4\r
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document.write( "to see if (x, y) = (1, 0) is the solution:\r
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document.write( "3(1) - 2(0) = 3
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document.write( "4(1) + 7(0) = 4\r
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document.write( "So I get 3 = 3 in the first and 4 = 4 in the second, so it is correct.\r
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document.write( "Edwin
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document.write( "AnlytcPhil@aol.com\r
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