document.write( "Question 22279: How would I solve these systems?\r
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document.write( "1)x+5y=4
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document.write( " 3x-7y=-10\r
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document.write( "2)-5x+3y=6
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document.write( " x-y=4\r
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document.write( "3)3x-8y=13
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document.write( " 4x-5y=6\r
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document.write( "4)3x-7y=6
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document.write( " 2x+7y=4\r
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document.write( "5)4x+3y=19
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document.write( " 3x-4y=8\r
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document.write( "6)2x+y=5
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document.write( " 3x-2y=4\r
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document.write( "7)3x-2y=19
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document.write( " 5x+4y=17\r
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document.write( "8)7x+3y=-1
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document.write( " 4x+y=3\r
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document.write( "9)8x-3y=-11
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document.write( " 2x-5y=27\r
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document.write( "10)4x-7y=10
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document.write( " 3x+2y=-7 \n" );
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Algebra.Com's Answer #11819 by elima(1433)![]() ![]() ![]() You can put this solution on YOUR website! There are different ways to solve thewe, one way is by substitution; where one equation is solved t\for one variable and that solutin is substituted into the second equation. I will solve a few, then you try and do the rest. \n" ); document.write( "Solve one equation for one variable; \n" ); document.write( "1)x+5y=4 (eq.1) \n" ); document.write( " 3x-7y=-10 (eq.2) \n" ); document.write( "Lets start by solving eq.1 for x; \n" ); document.write( "x=4-5y (eq.3) \n" ); document.write( "Now substitute eq.3 into the other equation and solve for y; \n" ); document.write( "3(4-5y)-7y=-10 \n" ); document.write( "12-15y-7y=-10 \n" ); document.write( "12-22y=-10 \n" ); document.write( "-22y=-10-22 \n" ); document.write( "-22y=-22 \n" ); document.write( "y=1 \n" ); document.write( "Now you have what y equals, so you are going to plug that into eq.1 and solve for x; \n" ); document.write( "x+5(1)=4 \n" ); document.write( "x+5=4 \n" ); document.write( "x=4-5 \n" ); document.write( "x=-1 \n" ); document.write( "So the answer; x=-1, y=1\r \n" ); document.write( "\n" ); document.write( "2)-5x+3y=6 (eq.1) \n" ); document.write( " x-y=4 (eq.2)\r \n" ); document.write( "\n" ); document.write( "x-y=4 \n" ); document.write( "x=4+y (eq.3) \n" ); document.write( "-5(4+y)+3y=6 \n" ); document.write( "-20-5y+3y=6 \n" ); document.write( "-20-2y=6 \n" ); document.write( "-2y=6+20 \n" ); document.write( "-2y=26 \n" ); document.write( "y=-13 \n" ); document.write( "x-y=4 (eq.2) \n" ); document.write( "x-(-13)=4 \n" ); document.write( "x+13=4 \n" ); document.write( "x=4-13 \n" ); document.write( "x=-9 \n" ); document.write( "x=-9, y=-13\r \n" ); document.write( "\n" ); document.write( "Now try and solve the others on your own, if you are still having problems, let me know. \n" ); document.write( "=)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |