For this case we have the following equation:
![24-3x = -27](https://tex.z-dn.net/?f=24-3x%20%3D%20-27)
To solve we follow the steps below:
We subtract 24 from both sides of the equation:
![-3x = -27-24\\-3x = -51](https://tex.z-dn.net/?f=-3x%20%3D%20-27-24%5C%5C-3x%20%3D%20-51)
We divide between -3 on both sides of the equation:
![x = \frac {-51} {- 3}\\x = 17](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-51%7D%20%7B-%203%7D%5C%5Cx%20%3D%2017)
The value of x is 17
Answer:
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
3x+y-2z=22
x+5y+z=4
x=-3z
3(-3z)+y-2z=22
-9z+y-2z=22
-11z+y=22
-3z+5y+z=4
-2z+5y=4
-11z+y=22
-2z+5y=4
-55z+5y=110
--2z+5y=4
----------------------
-53z=106
z=2
-2(2)+5y=4
-4+5y=4
5y=8
y=1.6
x=-3(2)
x=-6
x=-6
y=1.6
z=2
Step-by-step explanation:
Hey there!
Follow the steps to get answer.
- Use one point formula and find 1st equation.
- After that you find the slope of second equation.
- Use the condition of perpendicular lines and find the slope of first equation.
- Put slope value of equation in equation (i) and simplify them to get equation.
The equation of a line passing through point (2,3) is;
(y-3)= m1(x-2).......(i).
Another equation is;
![y = \frac{ - 1}{2} x + \frac{2}{3}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B2%7D%20x%20%2B%20%20%5Cfrac%7B2%7D%7B3%7D%20)
2nd equation..
Now, From equation (ii)
We have;
Comparing equation (ii) with y = mx+c.
We get;
Slope = -1/2.
For perpendicular lines,
![m1 \times m2 = - 1](https://tex.z-dn.net/?f=m1%20%5Ctimes%20m2%20%3D%20%20-%201)
![m1 \times \frac{ - 1}{2} = - 1](https://tex.z-dn.net/?f=m1%20%5Ctimes%20%20%5Cfrac%7B%20-%201%7D%7B2%7D%20%20%3D%20%20-%201)
Therefore the slope is 2.
Put value of slope (m1) in equation (i). We get;
![(y - 3) = 2(x - 2)](https://tex.z-dn.net/?f=%28y%20-%203%29%20%3D%202%28x%20-%202%29)
Simplify them to get equation.
![(y - 3) = 2x - 4](https://tex.z-dn.net/?f=%28y%20-%203%29%20%3D%202x%20-%204)
![y = 2x - 1](https://tex.z-dn.net/?f=y%20%3D%202x%20-%201)
Therefore the required equation is y = 2x-1.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Let
x------> amount of money Theo has
y------> amount of money Denise has
z------> amount of money Rudy has
we know that
x+y+z=$45-----> equation 1
x=5+y-----> equation 2
y=11+z----> equation 3
substitute equation 2 in equation 1
[5+y]+y+z=45-------> 2y+z=40-----> equation 4
y=11+z----> equation 3
2y+z=40-----> equation 4
resolves the equations system
using a graph tool
see the attached figure
the solution is
y=17
z=6
x=5+y----> x=5+17----> x=22
the answer is<span>
Denise has $17</span>
Answer:
Devonte is not correct because the interquartile range is less for Spanish.
Step-by-step explanation: