SOLUTION: how do you solve y=-x+4 y=2x+6 using substitution?

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Question 394309: how do you solve
y=-x+4
y=2x+6
using substitution?
Found 3 solutions by TeishaRenee, ewatrrr, richard1234:
Answer by TeishaRenee(14) About Me  (Show Source):
You can put this solution on YOUR website!
okay i think i got this one lol
first you would take the top equation and set it equal to x
so y=-x+4
subtract 4 from both sides
y-4=-x
divide by -1
-y+4=x
then plug that into the second equation where x would be
so y=2(y-4)+6
then multiply
y=2y-8+6
do the -8+6
which makes -2
so y=2y-2
subtract 2y from both sides
-y=-2
multiply by -1
y=2 then plug in the y=2 to the first equation
y=-x+4
2=-x+4
subtract 4 from both sides
-2=-x
divide by -1 on both sides
x=2
so your answers are x=2 and y=2
if you need help on any more of these i will gladly help you.
send me an email trdl@msn.com
ill get back to you right away unless its a weekend. :)
hope this helped. let me know if you have any more ?s

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Sets Up for elimination of x by multiplying 1st equation by 2 prior to adding them

y=-x+4

y=2x+6



2y=-2x+8

 y= 2x+6

3y = 14

 y = 14/3

 x = -2/3     | y = -x + 4,  x = -14/3 + 12/3

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute -x+4 into the second equation, replacing y.

-x + 4 = 2x + 6

3x = -2

x = -2/3.

Since y = -x + 4, then y = 2/3 + 4 = 14/3. Therefore the ordered pair (x,y) is (-2/3, 14/3).