document.write( "Question 192620: decide whether the pair of lines is parallell, perpendiculr or neither:?
\n" ); document.write( "3x + 2y = 3
\n" ); document.write( "2x + 3y =8\r
\n" ); document.write( "\n" ); document.write( "solve the following syestem of equations
\n" ); document.write( " x + 4y = 7
\n" ); document.write( " x = 2 -4y \n" ); document.write( "
Algebra.Com's Answer #144595 by yuendatlo(23)\"\" \"About 
You can put this solution on YOUR website!
first, isolate y so that you have a equation like this:
\n" ); document.write( "y=f(x)
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"3+x+%2B+2+y+=+3\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-3%2F2\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 3/3 = 1.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3/2 = 1.5.
  • Slope is -3/2 = -1.5.
  • Equation in slope-intercept form: y=-1.5*x+1.5.
\"graph%28+500%2C+500%2C+1-8%2C+1%2B8%2C+1.5-8%2C+1.5%2B8%2C+-1.5%2Ax%2B1.5+%29+\"\n" ); document.write( "

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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"2+x+%2B+3+y+=+8\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-2%2F3\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/2 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/3 = 2.66666666666667.
  • Slope is -2/3 = -0.666666666666667.
  • Equation in slope-intercept form: y=-0.666666666666667*x+2.66666666666667.
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\n" ); document.write( "\n" ); document.write( "slope of 3x+2y=3 is -1.5,
\n" ); document.write( "and slope of the other is -2/3
\n" ); document.write( "therefore, they are neither perpendicular, nor parallel.\r
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
\n" ); document.write( " \"+system%28+%0D%0A++++1%5Cx+%2B+4%5Cy+=+7%2C%0D%0A++++1%5Cx+%2B+2%5Cy+=+4+%29%0D%0A++\"We'll use substitution. After moving 4*y to the right, we get:
\n" ); document.write( " \"1%2Ax+=+7+-+4%2Ay\", or \"x+=+7%2F1+-+4%2Ay%2F1\". Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " \"1%2A%287%2F1+-+4%2Ay%2F1%29+%2B+2%5Cy+=+4\" and simplify: So, we know that y=1.5. Since \"x+=+7%2F1+-+4%2Ay%2F1\", x=1.
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\n" ); document.write( " Answer: \"system%28+x=1%2C+y=1.5+%29\".
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