Answer:
2/3
Step-by-step explanation:
If 2/3 · x= 4/9 then 4/9 ÷ 2/3= x
KCF (Keep Change Flip)
Keep 4/9
4/9 ÷ 2/3
Change from division to multiplication
4/9 · 2/3
Flip 2/3 to 3/2
4/9 · 3/2
Multiply 4 · 3= 12
Multiply 9 · 2= 18
Simplify
12 ÷ 6= 2
18 ÷ 6= 3
x=2/3
The simplified expression would be as follows: 5y + 26
So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
