Answer:
-4
Step-by-step explanation:
There are many methods to solve this system of equations.
I will use the elimination method.
First step:
Multiply the first equation by -2
2(2x-3y) = -14(-2)
-4x + 6y = 28
Multiply the second equation by 3 so you can eliminate the y term
3(3x-2y) = -6(3)
9x-6y = -18
Second step: Add the equations vertically(Basically adding like terms)
-4x+6y = 28
+
9x - 6y = -18
5x = 10
Third step: Solve for x
![\frac{5x}{5} = \frac{10}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%20%20%3D%20%5Cfrac%7B10%7D%7B5%7D)
x = 2
Substitute the x-value into any of the original equation to get the y value
3(x) - 2y = -6
3(2) - 2y = -6
6 - 2y = -6 (Since we are solving for y, it will be isolated and we will move 6 to the other side)
-2y = -6 - 6(Moving 6 to the other side makes it negative)
Solve for y by dividing by -2
![\frac{-2y}{-2} = \frac{-12}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2y%7D%7B-2%7D%20%3D%20%5Cfrac%7B-12%7D%7B-2%7D)
y = 6
So (x, y) = (2, 6)
Since the question is asking to subtract x and y
2-6 = -4
Answer:
Empty space in the cane is 17.94 cubic inch.
Step-by-step explanation:
We know can of soda is in cylindrical shape so we will apply the formula to determine the volume of cane(cylinder).
Volume of a cylinder
where V is volume,r is radius of the base and h is the height of cylinder.
From the question r=2.6(diameter)/2=1.3 inches
h=4.83 inches
Then we put these values in the formula
![V=\pi (1.3)^24.83](https://tex.z-dn.net/?f=V%3D%5Cpi%20%281.3%29%5E24.83)
![V=\pi (1.69)(4.83)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%281.69%29%284.83%29)
![V=(3.14)(1.69)(4.83)](https://tex.z-dn.net/?f=V%3D%283.14%29%281.69%29%284.83%29)
![V=25.63 inch^{3}](https://tex.z-dn.net/?f=V%3D25.63%20inch%5E%7B3%7D)
Can is 30% filled then we have to calculate the empty space that is 70% of the total volume V.
![Empty space =25.63(\frac{70}{100})](https://tex.z-dn.net/?f=Empty%20space%20%3D25.63%28%5Cfrac%7B70%7D%7B100%7D%29)
=17.94 cubic inch.
5x(2y-3)-(y+8)=13 I believe this is correct
Answer:
180 ft^2
<em>Note: ft^2 represents ft squared</em>
States that the sum of any 2 sides of a triangle must be greater than the measure of the third.<span />