document.write( "Question 44801: Can you please explain to me about what is a one solution, and no solution infinitive solution mean in a simple way? I am more of visual in number than word explanation. How do you know what they are when you solve the equation? Do you sitll have to process the equation with y=mx+b when you have equation x+2y=10 and 4y-20=2x
\n" ); document.write( "How do you solve by graphing? and what is the solution?
\n" ); document.write( "Your help is greatly appericated.
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Algebra.Com's Answer #29683 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Can you please explain to me about what is a one solution, and no solution infinitive solution mean in a simple way? I am more of visual in number than word explanation.
\n" ); document.write( "If you graph two lines and find that they cross at one point the system of
\n" ); document.write( "equations has one solution.
\n" ); document.write( "If the two lines are parallel and do not cross at any point the system has
\n" ); document.write( "no solutions.
\n" ); document.write( "If the two lines lie on top of one another the system has an infinite number
\n" ); document.write( "of solutions.
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\n" ); document.write( "\n" ); document.write( "How do you know what they are when you solve the equation? Do you sitll have to process the equation with y=mx+b when you have equation x+2y=10 and 4y-20=2x\r
\n" ); document.write( "\n" ); document.write( "The \"system of equations\" may be solved in many ways: graphing, substitution,
\n" ); document.write( "elimination, matrices, etc.
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\n" ); document.write( "How do you solve by graphing? and what is the solution?
\n" ); document.write( "You graph lines by finding two points on the line, plotting the points on
\n" ); document.write( "a coordinate system, and drawiing a line through the points. The solution
\n" ); document.write( "is a pair of numbers that make the equation a true statement.
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\n" ); document.write( "x+2y=10 and 4y-20=2x\r
\n" ); document.write( "\n" ); document.write( "To solve this system by substitution proceed as follows:
\n" ); document.write( "Solve the 1st equation for \"x\".
\n" ); document.write( "x=10-2y
\n" ); document.write( "Substitute that value into the 2nd equation, as follows:
\n" ); document.write( "4y-20=2(10-2y)
\n" ); document.write( "Simplify, as follows:
\n" ); document.write( "4y-20=20-4y
\n" ); document.write( "8y=40
\n" ); document.write( "y=5
\n" ); document.write( "Substitute that value into one of the equations to find a value for \"x\".
\n" ); document.write( "x=10-2(5)=0
\n" ); document.write( "So the solution is (0,5)
\n" ); document.write( "Check that answer in the other equation, as follows:
\n" ); document.write( "4y-20=2x
\n" ); document.write( "4(5)-20=2(0)
\n" ); document.write( "20-20=0
\n" ); document.write( "0=0
\n" ); document.write( "The solution checks.
\n" ); document.write( "These two lines meet at one point; the point is (0,5).
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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