document.write( "Question 208491: how many solutions will this linear system have y=3x+8 and y=3x+2\r
\n" ); document.write( "\n" ); document.write( "I have no idea how to solve this so coule you please go step by step in sloving that way i can understand it and be able to solve more problems like this one.\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #157719 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
equations are:
\n" ); document.write( "y = 3x + 8
\n" ); document.write( "and
\n" ); document.write( "y = 3x + 2
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\n" ); document.write( "to convert these to standard for for simultaneous equations, you would put the x and y on the left side of the equation and the constant on the right side of the equation.
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\n" ); document.write( "your equations become:
\n" ); document.write( "y - 3x = 8
\n" ); document.write( "anbd
\n" ); document.write( "y - 3x = 2
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\n" ); document.write( "if there is a solution, you will have one solution for x that will satisfy both equations. because you have 2 equations in 2 unknowns.
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\n" ); document.write( "this assumes you need to solve both equations simultaneous meaning that the same solution for x applies to both equations.
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\n" ); document.write( "immediately you have a problem because you have:
\n" ); document.write( "y - 3x = 8
\n" ); document.write( "y - 3x = 2
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\n" ); document.write( "this is because y - 3x can't be equal to 8 and 2 at the same time.
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\n" ); document.write( "if you tried to solve these equations by subtracting equation 2 from equation 1 you would have gotten the same result.
\n" ); document.write( "y - 3x = 8 = equation 1
\n" ); document.write( "y - 3x = 2 = equation 2
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\n" ); document.write( "subtract equation 2 from equation 1 to get:
\n" ); document.write( "0 = 6
\n" ); document.write( "since this is not a true statement, there is no solution.
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