document.write( "Question 1161709: Help! Im stuck on this equation:
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\n" ); document.write( "(note that these two equations are in the same question)
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Algebra.Com's Answer #785325 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "(1)  First step is to multiply first equation by 2.\r\n" );
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document.write( "(2)  Second step is to subtract the second equation from the modified first equation.\r\n" );
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document.write( "     By doing so, you will cancel quadratic terms and will obtain a linear equation.\r\n" );
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document.write( "(3)  Thus after first two steps, you will reduce the original system of two equations each of the degree 2,\r\n" );
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document.write( "     to a SIMPLER EQUIVALENT system of two equations, one of which is of the degree 2 and the other is linear.\r\n" );
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document.write( "(4)  From the linear equation, express one unknown via another and substitute it into the other equation of the degree 2.\r\n" );
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document.write( "     By making this substitution, you will reduce the problem to the solution of a quadratic equation for only one single unknown.\r\n" );
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document.write( "     Solve this equation and find the values of this unknown.\r\n" );
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document.write( "(5)  Then substitute these values into the linear equation and find two values of the other unknown.\r\n" );
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document.write( "(6)  The given system represents two circles in coordinate plane, that presumably intersect in two points.\r\n" );
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document.write( "     The modified system represents a circle and a straight line, which presumably intersect at the same two pints.\r\n" );
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document.write( "     The solution which you will find algebraically,  will represent these two intersection points.\r\n" );
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document.write( "(7)  Still there is an opportunity that the quadratic equation has NO real solutions, or has ONLY ONE real solution,\r\n" );
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document.write( "     instead of two.\r\n" );
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document.write( "     It will mean that the two original circles do not intersect; or do touch in one single point only.\r\n" );
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document.write( "     I don't know in advance, what will happen --- YOU should find out, what will happen, actually.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar solved problems  (your  TEMPLATES),  look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solving systems of algebraic equations of degree 2 and degree 1 \r
\n" ); document.write( "\n" ); document.write( "    - Solving systems of algebraic equations of degree 2 \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 lessons are the part of this online textbook under the topic \"Systems of equations that are not linear\".\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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