document.write( "Question 458020: Hello everyone! I realize it is stated only one problem per submission, however, there are two problems I worked on and worked on and worked on. Each time I thought I had finally solved correctly I still ended up wrong on quiz.
\n" ); document.write( "I have a test reviewing these types of problems (and others) and would like to understand how to do them correctly prior to taking the test. Any help would be so appreciated! \r
\n" ); document.write( "\n" ); document.write( "PROBLEM #1:
\n" ); document.write( " Solve the system of equations by graphing. Check your solution.
\n" ); document.write( " 2x+y=-8
\n" ); document.write( " 3x-y=3\r
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\n" ); document.write( "\n" ); document.write( "PROBLEM #2:
\n" ); document.write( " Solve the system of equations by graphing. Check your solution.
\n" ); document.write( " y=x+3
\n" ); document.write( " x+y= -2/5\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #314166 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
It says to solve by graphing.
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"3+x+%2B+-1+y+=+3\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-3%2F-1\".
  • 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/-1 = -3.
  • Slope is -3/-1 = 3.
  • Equation in slope-intercept form: y=3*x+-3.
\"graph%28+500%2C+500%2C+1-8%2C+1%2B8%2C+-3-8%2C+-3%2B8%2C+3%2Ax%2B-3+%29+\"\n" ); document.write( "

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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"2+x+%2B+1+y+=+-8\" 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. -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 -8/1 = -8.
  • Slope is -2/1 = -2.
  • Equation in slope-intercept form: y=-2*x+-8.
\"graph%28+500%2C+500%2C+-4-8%2C+-4%2B8%2C+-8-8%2C+-8%2B8%2C+-2%2Ax%2B-8+%29+\"\n" ); document.write( "
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