I believe it would be an empty set. If you graph the two lines, they have the same slope so are parallel but different Y intercepts so don’t intersect at all. This is an empty set, no solution.
You already know x+3y is 10 as they are both indicated as being the same on the diagram.
We then subtract 10 and 10 from the total perimeter, to figure out the top and bottom’s total length.
54-10-10=34
Now we add the top (3x-y) to the bottom (7x-2y) by collecting like terms.
3x-y+7x-2y=10x-3y
We form the simultaneous equation now.
x+3y=10
10x-3y=34
From here we can form a single equation.
x+3y+10x-3y=10+34
+3y and -3y cancel each other out so we now have:
x+10x=10+34
which is:
11x=44
Divide 44 by 11.
x=4
We now substitute x=4 into x+3y which we know equals 10.
(4)+3y=10
Subtract 10 by 4.
3y=6
Divide 6 by 3.
y=2
We now have the answer x=2 and y=4.
The answer is 2:5!! hope this helps!
Answer:
X=-8
Step-by-step explanation:
18+x=10
-18 -18
x=-8
Each student gets 2 1/7 cookies
15 divided by 7 is 2.14 or 2 1/7
