document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119622>Question 1119622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by the method of elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, enter a for x and enter y in terms of a.)\r<BR>\n" );
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document.write( "1/2x+y=1/8<BR>\n" );
document.write( "5/2x+5y=5/8\r<BR>\n" );
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document.write( "(x,y) </SPAN>\n" );
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document.write( "Multiply the first equation by 5; the result is equal to the second equation.<br><BR>\n" );
document.write( "Then solving the pair of equations by elimination (subtracting one equation from the other) results in the equation 0 = 0.<br><BR>\n" );
document.write( "That equation is always true; the two equations are equivalent; they are different forms of the equation for the same straight line; the system of equations is dependent.<br><BR>\n" );
document.write( "Of course, once you see that the first equation multiplied by 5 is the same as the second equation, you know that is the answer; there is no need to use elimination.<br><BR>\n" );
document.write( "Then, according to the instructions, let x = a and solve for y in terms of a:<br><BR>\n" );
document.write( "(1/2)a+y = 1/8<BR>\n" );
document.write( "y = 1/8 - (1/2)a  OR  y = (1-4a)/8<br><BR>\n" );
document.write( "The solutions are any ordered pair of the form (a, (1-4a)/8). </SPAN>\n" );
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