You plug -x+16 in for y in x+4y=37 to get x after you multiply x+4y=37 by -1.
-x-4(-x+16)=-37
-x+4x-64=-37
3x-64=-37
3x=27
x=9
Then you plug 9 into either equation to get y.
y=-x+16
y=-(9)+16
y=7
x=9 and y=7
The domain is the x value: (-3)
The range are the y values: (0, 1, 2, 3) in order from least to greatest
No this is not a function because that value of x is "reused". You can "reuse" a y value with different x values but you can't reuse an x value ever, even if the y's are different. x's cannot be the same
I’m not sure what that meant.
Answer:
(a) The table of the ordered pairs is given as:
x-values 1 2 3 4 5 6
y-values 3 6 9 12 15 18
(b)
We find the equation from the table using the slope intercept form.
Let y=mx+c
on using the first column i.e x=1 and y=3 we have equation as:
3=m+c-------(1)
on using the second column i.e. x=2 and y=6
we have 6=2m+c---------(2)
on subtracting equation (1) from equation (2) we get:
m=3
and finally on putting value of m in equation (1) we get c=0
Hence, the equation of the line is y=3x.
This equation holds for all the points.
(c)
<em>x is the independent variable</em> and <em>y is the dependent variable </em>since it depends on the value of 'x'. it is thrice the value of x at each point.