document.write( "Question 1073739: 3x+4y=-4
\n" ); document.write( "x-2y=2
\n" ); document.write( "Determine whether the system has no solution, infinite or one solution.
\n" ); document.write( "CAN SOMEONE PLEASE SHOW ME HOW TO DO THIS?? THANKS!! \n" ); document.write( "

Algebra.Com's Answer #688519 by htmentor(1343) $\"\"$ $\"About$

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There are number of ways, but one way is to observe that the two equations represent lines in the x-y plane.
\n" ); document.write( "Writing in standard form we have:
\n" ); document.write( "y = (-3/4)x - 1 [1]
\n" ); document.write( "y = (-1/2)x - 1 [2]
\n" ); document.write( "We can see right away that the y-intercept of both of these lines is -1.
\n" ); document.write( "Thus the two lines intersect at the point (0,-1).
\n" ); document.write( "Since the lines have a different slope, they intersect at only this one point.
\n" ); document.write( "Therefore there is one solution.
\n" ); document.write( "If the lines also had the same slope, then there would be infinitely many solutions.
\n" ); document.write( "Obviously, if there were no intersection points, the lines would be parallel, and thus the system would have no solution. \n" ); document.write( "

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