document.write( "Question 46614This question is from textbook College Algebra by Blitzer
\n" ); document.write( ": How do I use the substitution method to solve the following system of eqautionsin which the solution consists of ordered pairs?\r
\n" ); document.write( "\n" ); document.write( "x^2 + y = 4
\n" ); document.write( "2x + y = 1 \n" ); document.write( "

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2x + y = 1
\n" ); document.write( "also means:
\n" ); document.write( "y = -2x + 1
\n" ); document.write( "plug:
\n" ); document.write( "x^2 + y = 4
\n" ); document.write( "x^2 - 2x + 1 = 4
\n" ); document.write( "x^2 - 2x - 3 = 0
\n" ); document.write( "(x - 3)(x + 1) = 0
\n" ); document.write( "x = 3 and x = -1
\n" ); document.write( "plug:
\n" ); document.write( "y = -2x + 1
\n" ); document.write( "y = -2(3) + 1 = -5 so (3,-5)
\n" ); document.write( "y = -2x + 1
\n" ); document.write( "y = -2(-1) + 1 = 3 (-1,3)
\n" ); document.write( " $\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C-2x+%2B+1%2C-x%5E2+%2B+4%29\"$ \n" ); document.write( "

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