Graph 3y-2x=-18
hmm, ok, x intercept is at y=0 and x=9 so the point (9,0)
y intercept is at x=0 and y=-6 so (0,-6)
all the graphs hit that
ok, so we have 3y-2x>-18
it is > and not ≥ so it is a dotted line
it is one of the first 2
ok, test points
(0,0)
0>-18?
true
so (0,0) is in it
so it is the 2nd one
That would be 5(3w + 13)
The GCF is 5
Cool problem
x and y are the digits
x+y=11
yx=2(xy)+34
I'm not sure how to solve this using legit math so use trial and error
the 1 digit numbers that could be possible are
9,2
8,3
7,4
6,5
5,6
4,7
3,8
2,9
all of them add up to 11
the pairs obtained by swiching the number are
92 and 29
83 and 38
74 and 47
65 and 56
we find which ones are equal when we subtract 34 from the larger number and divide by 2
92-34=58
58/2=29
92 and 29 work
83-34=49
49/2=24.5 not equal to 38 not work
74-34=40
40/2=20 47 not equal to 20 so doesn't work
65-34=31
31/2=15.5 not equal to 56 so doesn't work
the origonal number is 29
It subtracts 2 then adds 5
Answer:

Step-by-step explanation:
Let be
and
, we plot each curve with the help of graphic tool. In this case, we use Desmos and outcome is presented in the image attached below. Mathematically speaking, a solution to the system of equation exists when
. Graphically speaking, it means that a solution exists when both curves pass through each other.
According to the graphic tool, we conclude that the only solution to the system of equations is
.