document.write( "Question 203476: 1. Solve by substitution or elimination method: \r
\n" ); document.write( "\n" ); document.write( " 3x – 2y = 26
\n" ); document.write( " -7x + 3y = -49\r
\n" ); document.write( "\n" ); document.write( "2. Solve by substitution or elimination method: \r
\n" ); document.write( "\n" ); document.write( " 4x – 5y = 14
\n" ); document.write( " -12x + 15y = -42\r
\n" ); document.write( "\n" ); document.write( "3. Solve by substitution or elimination method: \r
\n" ); document.write( "\n" ); document.write( " -2x + 6y = 19
\n" ); document.write( " 10x – 30y = -15
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Second set of problems:\r
\n" ); document.write( "\n" ); document.write( "1. Plot the graph of the equations 2x - 3y = 5 and 4x - 6y = 21 and interpret the result.
\n" ); document.write( "2. Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result.
\n" ); document.write( "3. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #153515 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
I),,(1) 3x-2y=26,,mult by 3,,,9x-6y= 78
\n" ); document.write( "(2)-7x +3y =-49,,,mult by 2,,-14x+6y=-98
\n" ); document.write( "add(1) +(2),,,,,-5x=-20,,,,,x=4
\n" ); document.write( "subst into (1),,,3(4) -2y=26,,,,-2y=14,,,,y=-7
\n" ); document.write( ".
\n" ); document.write( "II),,,(1)4x-5y=14,,,mult by (-3),,,-12x +15y =-42
\n" ); document.write( "(2) -12x +15y =-42
\n" ); document.write( "as (1) and (2) are coincident,,,,x= all real numbers
\n" ); document.write( ".
\n" ); document.write( "III) (1) -2x -6y = 19,,,mult by (-5),,,10x-30y=-95
\n" ); document.write( "(2) 10x-30y=-15
\n" ); document.write( "as (1) and (2) are parallel(slopes same),,,there is no solution
\n" ); document.write( ".
\n" ); document.write( "(iv) (1)2x-3y=5,,,y= (2/3)x -5/3
\n" ); document.write( "(2) 4x-6y=21,,,,,y=(2/3)x -7/2
\n" ); document.write( "lines are parallel(slopes same), y intercepts are (-5/3) and (-7/2)
\n" ); document.write( ".
\n" ); document.write( "(v) (1) 4x-6y=12,,y=(2/3)x-2
\n" ); document.write( "(2) x-5y=10,,,y=(1/5)x -2
\n" ); document.write( "y intercepts are same,,therefore lines intercept there(0,-2),,
\n" ); document.write( "both slopes are positive, but different.
\n" ); document.write( ".
\n" ); document.write( "(vi) (1) 8x -4y =12,,,,y=2x-3
\n" ); document.write( "(2) -4x +2y =-6,,,y=2x-3
\n" ); document.write( "lines are coincident,,,y intercept is -3,,(0,-3),,slope is (+2)
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );