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# 2x=10-y and y-x=-2 elimination problem

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2x=10-y y-x=-2

Guest Nov 10, 2014

#1
+17711
+5

2x  =  10 - y

y - x  =  -2     --->   (solve for y)   --->   y  =  x - 2

Replace this into the other equation:  2x  =  10 - (x - 2)

(distribute)                           2x  =  10 - x + 2

(add x to both sides)            3x  =  12

(divide by 3)                           x  =  4

Replace this into the equation  y  =  x - 2     --->     y  =  4 - 2     --->     y  =  2

geno3141  Nov 12, 2014
Sort:

#1
+17711
+5

2x  =  10 - y

y - x  =  -2     --->   (solve for y)   --->   y  =  x - 2

Replace this into the other equation:  2x  =  10 - (x - 2)

(distribute)                           2x  =  10 - x + 2

(add x to both sides)            3x  =  12

(divide by 3)                           x  =  4

Replace this into the equation  y  =  x - 2     --->     y  =  4 - 2     --->     y  =  2

geno3141  Nov 12, 2014

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