Answer: (2,2)
Step-by-step explanation:
I'm going to use substitution to solve this:
First, I use the second equation to solve for y in terms of x.
2x - y = 2
-y = 2 - 2x
y = 2x - 2
Then, I plug the value for y into the first equation:
2x + 4y = 12
2x + 4(2x - 2) = 12
2x + 8x - 8 = 12
10x - 8 = 12
10x = 20
x = 2
Now that we have x, we can plug it into either equation (I used the first) to get the value for y:
2x + 4y = 12
2(2) + 4y = 12
4 + 4y = 12
4y = 8
y = 2
We get the point (2,2) as a solution.
Note: This is the point where both lines intersect.
Answer:
x=8/9
Step-by-step explanation:
5x+2(x-3)=-2(x-1)
1) Distribute 2 to x and -3:
5x+2x-6=-2(x-1)
2) Distribute -2 to x and -1:
5x+2x-6=-2x+2
3) Combine alike terms:
7x-6=-2x+2
4) Add 2x to both sides:
9x-6=2
5) Add 6 to both sides:
9x=8
6) Divide both sides by 9:
x=8/9
Sarah because if you add up the one time registration fee and the amount per month for one month it would be less than Joe's
Answer:
50 lbs
Step-by-step explanation:
UPS: 8 + .20p
FedEx: 3 + .30p
8 + .20p = 3 + .30p
8 = 3 + .10p
5 = .10p
p = 50
Answer:
You stopped at 2y-4=12
If we add same number to both sides the equation will remain true. For example if we have 5=5, and we add 7 to both sides, we get 12=12 which is also true. Now let's do this with our equation. Add 4 to both sides(to have only y on the left side). We get 2y=16, hence y=8.
Answer. 2y=16
