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How would you find the x and y interesept of 2x+2y=12
and x-y=4

2006-10-18 03:59:02 · 3 answers · asked by Ash1227 2 in Science & Mathematics Mathematics

3 answers

Since the y coordinate of the x intercept is zero, plug in y = 0 for each equation and solve for x. Similarly, the x coordinate for the y intercept will be zero, so plug in x=0 into these equations and solve for y to get the y intercept.
x-intercept: 2x=12 since y = 0 implies that x=6 (6,0) is the x intercept
y intercept 2y=12 implies y = 6 (0,6) is the y intercept
For the next problem, -y=4 or y=-4 means the y-intercept is (0,-4)
and the x intercept would, using the same process, be (4,0).

2006-10-18 04:15:04 · answer #1 · answered by bruinfan 7 · 1 0

We have to find a value of x so y has the same value in both equations.

We need to eliminate y from our series of equations.
----
2x+2y=12
x-y=4
----
we can simplify the first equations by dividing by 2, a common factor
x+y=6
x-y=4
----
Now, solve an equationn for y, I chose the first one.
y=6-x
x-y=4
----
replace y in the second equatio with our new value for y
x-y=4
becomes
x-(6-x)=4
and now we clean it up
x-6+x=4
becomes
2x-6=4
becomes
2x=10
finally
x=5
-----
checking our solution
2x+2y=12
-
10+2y=12
-
2y=2
-
y = 1
=========
5-y=4
-
5=4+y
-
5-5=y
-
1=y

2006-10-18 04:17:54 · answer #2 · answered by RichardPaulHall 4 · 1 0

First you are going to be able to desire to place it in slope intercept style. (y=mx+b) x + 5y = 10 subtract x from the two facets 5y = -x +10 divide the two facets via 5 y = -one million/5x + 2 The y intercept is two The slope is -one million/5 The graph might desire to be basic only placed a element at 2 and have been given down one million and to the marvelous 5 repeat until eventually you have some factors then get a ruler and draw a strait line alongside the factors. desire this facilitates =]

2016-12-16 09:42:46 · answer #3 · answered by Anonymous · 0 0

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