document.write( "Question 51993: Solve the system
\n" ); document.write( "3x+y=-1
\n" ); document.write( "9x+3y=-3 \n" ); document.write( "

Algebra.Com's Answer #34689 by rchill(405) $\"\"$ $\"About$

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To solve a system of linear equations, you'll need to graph both lines to see where they intersect. If the lines are parallel, there is no solution and they will both have the same slope. If the lines are the same, the solution is infinite. It the lines intersect, the point of intersection is the solution. So, now we will solve both equations for y. In the first, subtract 3x from both sides to get $\"y=-3x-1\"$ . In the second, subtract 9x from both sides to get $\"3y=-9x-3\"$ and then divide both sides by 3 to end up with $\"y=-3x-1\"$ . As you can see, both equations are the same, and thus, there is an infinite solution. \n" ); document.write( "

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