document.write( "Question 849480: Write a system of linear equations that has (-1,4) as its only solution. Verify that (-1,4) is a solution using either the substitution method or the elimination method. \n" ); document.write( "
Algebra.Com's Answer #511608 by ankor@dixie-net.com(22740)\"\" \"About 
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Write a system of linear equations that has (-1,4) as its only solution.
\n" ); document.write( " Verify that (-1,4) is a solution using either the substitution method or the elimination method.
\n" ); document.write( ":
\n" ); document.write( "Select -3 as the slope, then write an equation using the coordinates -1,4
\n" ); document.write( "y = 3x + b
\n" ); document.write( "replace x and y, find b
\n" ); document.write( "4 = -3(-1)+b
\n" ); document.write( "4 = 3 + b
\n" ); document.write( "4 - 3 = b
\n" ); document.write( " b = 1
\n" ); document.write( "y = -3x + 1
\n" ); document.write( "in standard form
\n" ); document.write( "3x + y = 1
\n" ); document.write( ":
\n" ); document.write( "Select another slope 2, find another equation with the same coordinates
\n" ); document.write( "y = 2x + b
\n" ); document.write( "4 = 2(-1) + b
\n" ); document.write( "4 = -2 + b
\n" ); document.write( "4 + 2 = b
\n" ); document.write( "b = 6
\n" ); document.write( "y = 2x + 6
\n" ); document.write( "in standard form
\n" ); document.write( "-2x + y = 6
\n" ); document.write( ":
\n" ); document.write( "solve using eliminaion
\n" ); document.write( "-2x + y = 6
\n" ); document.write( " 3c + y = 1
\n" ); document.write( "-------------Subtraction eliminates y, find x
\n" ); document.write( "-5x + 0 = 5
\n" ); document.write( "x = 5 /-5
\n" ); document.write( "x = -1
\n" ); document.write( "find y
\n" ); document.write( "-2(-1) + y = 6
\n" ); document.write( "2 + y = 6
\n" ); document.write( "y = 6 - 2
\n" ); document.write( "y = 4
\n" ); document.write( ":
\n" ); document.write( "The only solution for 3x + y = 1 and -2x + y = 6, is -1,4 \n" ); document.write( "
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