document.write( "Question 836559: Solve by graphing: show step by step
\n" ); document.write( "2x-y=6
\n" ); document.write( "5y-2x=10 \n" ); document.write( "
Algebra.Com's Answer #504282 by doodles(24)\"\" \"About 
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so first we solve for y like one does any linear equation so...\r
\n" ); document.write( "\n" ); document.write( "\"2x-y+=+6\" --> \"-y+=+6-2x\" --> \"y+=+2x-6\" \r
\n" ); document.write( "\n" ); document.write( "Then we plug random x values to get the corresponding y values. For example, if x = 0 then y would equal to -6. So we could graph the point (2,-6) on the line. \r
\n" ); document.write( "\n" ); document.write( "Ultimately the line looks this: \r
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"2+x+%2B+1+y+=+-6\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-2%2F1\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -6/2 = -3.
  • 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 -2/1 = -2.
  • Equation in slope-intercept form: y=-2*x+-6.
\"graph%28+500%2C+500%2C+-3-8%2C+-3%2B8%2C+-6-8%2C+-6%2B8%2C+-2%2Ax%2B-6+%29+\"\n" ); document.write( "

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\n" ); document.write( "\n" ); document.write( "As for the second equation same thing solve for y. \r
\n" ); document.write( "\n" ); document.write( "\"5y-2x=10\" --> \"5y=10-2x\" --> \"y+=+10%2F5+-2x%2F5\" --> \"y+=+-2x%2F5+%2B+5\"\r
\n" ); document.write( "\n" ); document.write( "One again choose some random x values and plug them in the equation for the y value. \r
\n" ); document.write( "\n" ); document.write( "Ultimately, the line looks like this:
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"0.4+x+%2B+1+y+=+5\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-0.4%2F1\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 5/0.4 = 12.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 5/1 = 5.
  • Slope is -0.4/1 = -0.4.
  • Equation in slope-intercept form: y=-0.4*x+5.
\"graph%28+500%2C+500%2C+12.5-8%2C+12.5%2B8%2C+5-8%2C+5%2B8%2C+-0.4%2Ax%2B5+%29+\"\n" ); document.write( "
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