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What is the common point between lines

+2 votes

y = -x + 7 and y = 3x + 10?

asked Dec 28, 2012 in ALGEBRA 2 by payton Apprentice

1 Answer

+2 votes
Answer:

equation 1: y=-x+7

equation2: y=3x+10

We can substract equation 1 by equation2  inorder to get the x value

(y-y) = 3x+10 -(-x+7)

0= 3x+10+x-7

0=4x+3

4x=-3

x=-3/4

Now we can substitute x value to equation 1,

y= -(-3/4)+7 =3/4+7= (3+28)/4 =31/4

Therefore, common point is (-3/4, 31/4)
answered Jan 6, 2013 by Brian1983 Novice

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