document.write( "Question 302120: I have a few math questions that I need help with. Can you show me how to do these problems??\r
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document.write( "2y-3x=4\r
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document.write( "2y-5x=8\r
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document.write( "y= -3x+7, y= -2x- 5\r
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document.write( "x+y = 8, x-y = 12 \n" );
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Algebra.Com's Answer #216630 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2y-3x=4 \n" ); document.write( "2y-5x=8 \n" ); document.write( "Solving by elimination. \n" ); document.write( "Subtract the 2nd equation from the 1st to get: \n" ); document.write( "2x = -4 \n" ); document.write( "x = -2 \n" ); document.write( "--- \n" ); document.write( "Substitute into either of the original equations and solve for \"y\": \n" ); document.write( "2y -3(-2) = 4 \n" ); document.write( "2y + 6 = 4 \n" ); document.write( "2y = -2 \n" ); document.write( "y = -1 \n" ); document.write( "--- \n" ); document.write( "Solution: (-2,-1) \n" ); document.write( "================================================================= \n" ); document.write( "y= -3x+7, \n" ); document.write( "y= -2x- 5 \n" ); document.write( "--- \n" ); document.write( "Solve by substitution: \n" ); document.write( "-3x+7 = -2x-5 \n" ); document.write( "Add 3x to both sides to get: \n" ); document.write( "x-5 = 7 \n" ); document.write( "Add 5 to both sides to get: \n" ); document.write( "x = 12 \n" ); document.write( "--- \n" ); document.write( "Substitute into either of the original equations and solve for \"y\": \n" ); document.write( "y = -3(12) + 7 \n" ); document.write( "y = -36 + 7 \n" ); document.write( "y = -29 \n" ); document.write( "--- \n" ); document.write( "Solution: (12,-29) \n" ); document.write( "==================================================== \n" ); document.write( " \n" ); document.write( "x+y = 8 \n" ); document.write( "x-y = 12 \n" ); document.write( "--- \n" ); document.write( "Solve by elimination: \n" ); document.write( "Add the two equations to get: \n" ); document.write( "2x = 20 \n" ); document.write( "x = 10 \n" ); document.write( "--- \n" ); document.write( "Substitute and solve for \"y\": \n" ); document.write( "10+y = 8 \n" ); document.write( "y = -2 \n" ); document.write( "--- \n" ); document.write( "Solution: (10,-2) \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |