Answer:
You can use Gaussian Elimination.
Double both sides of the first equation and add the second equation.
6x + 4y = 8
5x - 4y = 3
---------------
11x = 11
x = 1
5 - 4y = 3
-4y = -2
y = 1/2
Step-by-step explanation:
Answer:
(a+b,c)
Step-by-step explanation:
Note that the midpoint formula is:

Point A (0,0) and Point C (2a+2b,2c)
It follows that:

Answer:
π/3 units
Step-by-step explanation:
arc length = 2πr(°/360)
= 2π*3(20/360)
= π/3 units
Answer:
6 3/4
Step-by-step explanation:
3/4 * 9 = 27/4
How many times does 4 go into 27
It goes in 6 times (4*6 = 24) with 3 left over
The left over part goes over the denominator
6 3/4
We are given that there are a total of 78 students. If we set the following variables:

Then, the sum of all of these must be 78, that is:

Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:

Simplifying:

Now we solve for P by subtracting 62 on both sides:

Therefore, there are 16 students in physics