document.write( "Question 34615This question is from textbook
\n" ); document.write( ": solve by graphing
\n" ); document.write( "x-y=2
\n" ); document.write( "x+y=6 \n" ); document.write( "
Algebra.Com's Answer #20936 by lyra(94)\"\" \"About 
You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"1+x+%2B+-1+y+=+2\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-1%2F-1\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 2/1 = 2.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/-1 = -2.
  • Slope is -1/-1 = 1.
  • Equation in slope-intercept form: y=1*x+-2.
\"graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+-2-8%2C+-2%2B8%2C+1%2Ax%2B-2+%29+\"\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"1+x+%2B+1+y+=+6\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-1%2F1\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/1 = 6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/1 = 6.
  • Slope is -1/1 = -1.
  • Equation in slope-intercept form: y=-1*x+6.
\"graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+6-8%2C+6%2B8%2C+-1%2Ax%2B6+%29+\"\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "So we can see that the point where the two lines defined by the linear equations in the problem intesect is (4,2)
\n" ); document.write( "We can check our answer from the above by:
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
\n" ); document.write( " \"+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+6+%29%0D%0A++\"
\n" ); document.write( "
\n" ); document.write( " Any system of equations:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " has solution
\n" ); document.write( "
\n" ); document.write( " or
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " (x=4, y=2}
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We again get x=4 and y=2 so we know that our answer is correct.
\n" ); document.write( "Hope this helps,
\n" ); document.write( "lyra \n" ); document.write( "
\n" );