X = Amount paid one hour
205.25 - 59 = 146.25
3.25x = 146.25
x = 146.25 ÷ 3.25
x= 45
A). |x| = |-x|
This is always true.
The definition of 'absolute' value is 'size of the number without its sign'.
That's what this expression says.
b). |x| = -|x|
This is never true, because an absolute value is never negative.
This one would true if x=0 . So maybe some people might say
it's sometimes true, but that doesn't feel right to me. I say never.
c). |-x| = -|x|
This looks to me like exactly the same situation as (b),
and I would say all the same things about it.
The solution of the equation is x= 3 and y = 2
Step-by-step explanation:
Given,
-3x-4y = -17 and
-x-3y = -9
The system of equation can be rewritten as
3x+4y = 17 ------eq 1 and
x+3y = 9 ------ eq 2
To solve for x and y
Multiplying eq 2 by 3 we get,
3x + 9y = 27
or, 3x = 27-9y
Putting this value of x into eq 1 we get,
27-9y +4y = 17
or, -5y = 17-27
or, -5y = -10
or, y = 2
Now put y=2 in eq 2 we get,
x = 9 - 3(2)
= 3
Hence the solution is x = 3 and y = 2
slope intercept form
y = mx +b
x-y =8
subtract x from each side
-y = -x+8
divide by -1
y = x-8
Choice C
