document.write( "Question 1143517: Hello! I am not very good with a system of equations, here is one of the problems that I am having trouble with.\r
\n" ); document.write( "\n" ); document.write( "Find a value for a and b so that the system has infinitely many solutions.
\n" ); document.write( "y = (2/3)x - 5
\n" ); document.write( "y = ax + b\r
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Algebra.Com's Answer #764336 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "First equation represents straight line with the slope  and y-intercept of -5.\r\n" );
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document.write( "Second equation represents straight line with the slope \"a\" and y-intercept b\r\n" );
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document.write( "If you take  a=   and  b= -5,  the second equation will represent the same straight line as the first equation.\r\n" );
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document.write( "So, the system will have INFINITELY MANY solutions.\r\n" );
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document.write( "Or, simply, if a= ,  b= -5,  the two equation will be IDENTICAL and, therefore, the system will have \r\n" );
document.write( "infinitely many solutions.\r\n" );
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document.write( "So, your answer is  a=  ,  b= -5.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To get a solid base in your knowledge, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Geometric interpretation of the linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "If you want to learn the subject, read the lessons from this topic and become an expert.
\n" ); document.write( "Consider these lessons as your textbook, handbook, guide, tutorials and (free of charhe) home teacher.\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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