document.write( "Question 389869: What is the x- coordinate of the solution to the system of linear equations 3X+6Y=4 AND X-3Y=1,
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Algebra.Com's Answer #276403 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "finding  the x- coordinate of the solution to following system     
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document.write( "3X+6Y=4  OR y = (-3/6)x + 4/6
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document.write( "X-3Y=1   OR y = (1/3)x - 1/3   
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document.write( "when these lines intersect, the y-value will be the same for each.
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document.write( "     (-3/6)x + 4/6 = 1/3x -1/3   Multiplying each term by 6
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document.write( "        -3x  + 4 = 2x  - 2
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document.write( "              6 = 5x
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document.write( "              6/5 = x\r
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document.write( "CHECKING our Answer:  Note: y = 1/3*6/5 -1/3 = 1/15
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document.write( "   y = (-3/6)x + 4/6
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document.write( "  1/15 =  (-3/6)*6/5 + 4/6 = -18/30 + 20/30 = 2/30 = 1/15 \n" );
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