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
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document.write( "How do you solve by graphing? and what is the solution?
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document.write( "Your help is greatly appericated. \n" );
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Algebra.Com's Answer #29683 by stanbon(75887)![]() ![]() ![]() 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. \n" ); document.write( "-------------------------------------------------------------\r \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. \n" ); document.write( "------------------------------------------ \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. \n" ); document.write( "-------------------------------------------- \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |