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
\n" ); document.write( "\n" ); document.write( "2y-3x=4\r
\n" ); document.write( "\n" ); document.write( "2y-5x=8\r
\n" ); document.write( "\n" ); document.write( "y= -3x+7, y= -2x- 5\r
\n" ); document.write( "\n" ); document.write( "x+y = 8, x-y = 12
\n" ); document.write( "

Algebra.Com's Answer #216630 by stanbon(75887)\"\" \"About 
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( "
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