The lines are parallel.
In order to figure this out, let's start off by simplifying both equations as much as we can:
2y = 16 + 4x
Divide by 2
y = 2x + 8
Remember that the slope of that equation is '2' since 'm' in the equation y = mx + b represents slope.
Simplify the next equation:
6y - 30 = 12 x
6y = 12x + 30
Divide by 6:
y = 2x + 5
As you can tell, this line also has a slope of 2.
Parallel lines is defined as two lines that have the same slope. Knowing this, we can infer that these two lines are parallel.
-T.B.
Answer:
15 packages
Step-by-step explanation:
Set up a proportion, where x is the number of packages she can wrap with 2.5 rolls of wrapping paper:
= 
Cross multiply and solve for x:
0.5x = 7.5
x = 15
So, with 2.5 rolls of wrapping paper, she can wrap 15 packages
(F)=6+3F
We move all terms to the left:
(F)-(6+3F)=0
We add all the numbers together, and all the variables
F-(3F+6)=0
We get rid of parentheses
F-3F-6=0
We add all the numbers together, and all the variables
-2F-6=0
We move all terms containing F to the left, all other terms to the right
-2F=6
F=6/-2
F=-3
I don’t know if it is right but I hope this helps :)
Let Tamara invests amount
in 3% account. She invests
in 2% account.
The interest after t years is given by
. After 1 year the two interests are equal, that is

Thus, Tamara has to invest
in 3% account and
in 2% account.