document.write( "Question 1097061: 2/3y + 1/4x = 2
\n" ); document.write( "8y + 3x = a
\n" ); document.write( "in this system of equations a is a constant.If the system has infinite solutions, what is the value of a? \n" ); document.write( "

Algebra.Com's Answer #711458 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "The coefficients of the first equation are PROPORTIONAL to the coefficients of the second equation with the proportionality coefficient of .\r\n" );
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document.write( "Then the necessary and sufficient condition for the system to have a solution is that the right side terms are proportional with the same coefficient.\r\n" );
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document.write( "It gives an equation for the term \"a\":   = 2, which gives a = 24.\r\n" );
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document.write( "At the same time, this condition is a necessary and sufficient for the system to have INFINITE number of solutions.\r\n" );
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\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( " - Geometric interpretation of the linear system of two equations in two unknowns \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( "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\r
\n" ); document.write( "\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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