Answer:
![e=-2](https://tex.z-dn.net/?f=e%3D-2)
Step-by-step explanation:
Given: ![0.75(8+e)=2-1.25e](https://tex.z-dn.net/?f=0.75%288%2Be%29%3D2-1.25e)
Step 1: Distribute the Left-Hand Side
![0.75*8+0.75*e=2-1.25e\\6+0.75e=2-1.25e](https://tex.z-dn.net/?f=0.75%2A8%2B0.75%2Ae%3D2-1.25e%5C%5C6%2B0.75e%3D2-1.25e)
Step 2: Collect like terms
![0.75e+1.25e=2-6\\2e=-4](https://tex.z-dn.net/?f=0.75e%2B1.25e%3D2-6%5C%5C2e%3D-4)
Step 3: Divide both sides by 2
![e=-2](https://tex.z-dn.net/?f=e%3D-2)
What diagram can you add a picture of it ?
Multiply both sides by lh, V=wlh
Slope intercept form is this:
y - y1 = m(x - x1)
We are given the point of (5, -4) and the equation y = 2x + 3
Our needed equation is parallel to the give equation, meaning it has the same slope which is 2
Plug in the slope which is 2x and the x1 and y1 values given.
y - (-4) = 2(x - 5)
Then, simplify the equation to receive our answer.
y + 4 = 2x -10
y = 2x - 14
y = 2x - 14 is our answer.
Answer:
(2,4) is a solution to this system of equations
Step-by-step explanation:
Given system of equation are
![y=2x \hfill (1)](https://tex.z-dn.net/?f=y%3D2x%20%5Chfill%20%281%29)
![y=\frac{-1}{2}x+5\hfill (2)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-1%7D%7B2%7Dx%2B5%5Chfill%20%282%29)
To find the solution of the given system of equations
To Check that (2,4) is a solution to this system or not
Solving equations (1) and (2)
From equation (1) and y=2x
Now substitute y=2x is equation (2)
![2x=\frac{-1}{2}x+5](https://tex.z-dn.net/?f=2x%3D%5Cfrac%7B-1%7D%7B2%7Dx%2B5)
![\frac{-1}{5}x+5-2x=0](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B5%7Dx%2B5-2x%3D0)
![5-\frac{x}{2}-2x=0](https://tex.z-dn.net/?f=5-%5Cfrac%7Bx%7D%7B2%7D-2x%3D0)
![5-\frac{x+4x}{2}=0](https://tex.z-dn.net/?f=5-%5Cfrac%7Bx%2B4x%7D%7B2%7D%3D0)
![5-\frac{5x}{2}=0](https://tex.z-dn.net/?f=5-%5Cfrac%7B5x%7D%7B2%7D%3D0)
![\frac{10-5x}{2}=0](https://tex.z-dn.net/?f=%5Cfrac%7B10-5x%7D%7B2%7D%3D0)
10-5x=0
-5x=-10
![x=\frac{10}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%7D%7B5%7D)
Substitute x=2 in equation (1)
y=2x
y=2(2)
Therefore y=4
Therefore the solution is (2,4)
Therefore (2,4) is a solution to the system of equations.