3x+y-2z=22
x+5y+z=4
x=-3z
3(-3z)+y-2z=22
-9z+y-2z=22
-11z+y=22
-3z+5y+z=4
-2z+5y=4
-11z+y=22
-2z+5y=4
-55z+5y=110
--2z+5y=4
----------------------
-53z=106
z=2
-2(2)+5y=4
-4+5y=4
5y=8
y=1.6
x=-3(2)
x=-6
x=-6
y=1.6
z=2
The box of 100 would be the better deal, considering buying 2 boxes of 50 would turn out to be $47.00
Y=7x+3
They are parallel so the slope is the same and plug in the two coordinates to get the y intercept. This gives you y=7x+3
To compare whether or not two fractions are equivalent, they must have the same denominator.
What is a common denominator you can make between
and
? Some possible options are 5n or 10n.
I'll make both denominators 5n:1)
already has 5n in the denominator.
2) To get 5n in the denominator for
, you want to divide both the numerator and denominator by 2 (same as multiplying top and bottom by
). Since you're doing the same thing to the numerator and denominator, you are not changing the value of the fraction:
Now
compare the two fractions. Since
, your fractions are equivalent!
-------
Answer: They are equivalent
You can use the equation y = 1/4x + 1/2 to graph it.
The graph should look like this: