Question

[6.01] Select the system of equations that corresponds to the given graph. http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v10/06_04_08.jpg 4x + y = 6
6x + 3y = 6
−3x + y = 2
4x + 2y = 4
2x + y = 4
6x + 3y = 12
4x + 2y = 6
6x + 3y = 12 help me

Answer 1

In general, if you post a link to a system where you have to log in, someone who is not a user of that system will not be able to see the thing to which you linked.

Answer 2

oh sorry

Answer 3

But no matter, I'll how to do it! You've got a pile of equations, and a graph. You want to see which equations go with the graph. The easy way to do it is to plug in x=0 and find the value of y that makes it true, giving you the point (0,y-intercept) and then do the same thing, plugging in y = 0 and find the value of x that makes it true, giving you the point (x-intercept, 0). Now look for the graph where the line goes through those two points!

Answer 4

Let's take \[4x+y=6\]First set x = 0
\[4(0)+y=6\]\[0+y=6\]\[y=6\]so one point is \((0,6)\)
Now do the same except with y = 0
\[4x + 0 = 6\]\[4x=6\]\[x=6/4\]so the other point is \((6/4,0)\)
so that is the equation of a line which passes through (0,6) and (6/4,0)

Answer 5

a quick glance at the graph you provided shows that it is not the equation of either of the lines.

Answer 6

so that means we can disregard any answer choice which contains that equation.

Answer 7

let me know which choice you make and I'll check it for you

Answer 8

I think this one 4x + 2y = 4
2x + y = 4

Answer 9

"isolate y" means "rearrange the equation so it begins y = ..."
4x - y = 8

subtract 8 from both sides of equation
4x - y - 8 = 0

add y to both sides of equation
4x - 8 = y
which you can flip around to y = 4x - 8

Now, there is no 4x - 8 in the choices, but 4x - 8 = -8 + 4x Rearrange first to 4x -8 = y or y = -8 + 4x and
substitute this. So the third choice is the correct answer. Am i right????

Answer 10

4x + 2y = 4
and
2x + y = 4

okay, let's find the intercepts:
4(0) + 2y = 4
2y = 4
y = 2
(0,2) is one point
4x+2(0) = 4
4x=4
x=1
(1,0) is the other point
The line sloping upper left to lower right goes through (0,2) and (1,0) so 4x+2y=4 is the graph of that equation. so far so good.

Answer 11

I am so sorry wrong thing so sorry for that

Answer 12

the other equation:
2x+y=4
2(0) + y = 4
y = 4
(0,4) is one point
that is not crossed by the other line, so this is not the correct set of equations.

Answer 13

so pick a different answer choice that contains 4x + 2y = 4

Answer 14

this 4x + 2y = 6
6x + 3y = 12

Answer 15

again, let's find the intercepts:
6(0) + 3y = 12
y = 4
(0,4)
6x+3(0) = 12
x=2
(2,0)
unfortunately, neither line appears to pass through both of those points...so that is not correct.