Answer:
Step-by-step explanation:
hope this helped
This would be any equation whose slope isn’t -1 or 1.
If the slope was -1, the lines would be parallel because the have the same slope.
If the slope was 1, the lines would be perpendicular because 1 is the negative reciprocal of -1.
Any line with any other slope will intersect with y=-x.
Hope this helps!
Answer:
1536
Step-by-step explanation:
steps....?
Answer:
24
Step-by-step explanation:
The equations just need to be equal so you multiply 3 by 6 to get 8 and then 4 by 6 to get 24
3 / 4 = 18 / 24
Answer:
<h2>
![( \frac{13}{2} \:, - \frac{9}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B13%7D%7B2%7D%20%20%5C%3A%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%29)
</h2>
Step-by-step explanation:
![5x + y = 28](https://tex.z-dn.net/?f=5x%20%2B%20y%20%3D%2028)
![x + y = 8](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%208)
Solve the equation for y by moving 'x' to R.H.S and changing its sign
![5x + y = 28](https://tex.z-dn.net/?f=5x%20%2B%20y%20%3D%2028)
![y = 2 - x](https://tex.z-dn.net/?f=y%20%3D%202%20-%20x)
Substitute the given value of y into the equation 5x + y = 28
![5x + 2 - x = 28](https://tex.z-dn.net/?f=5x%20%2B%202%20-%20x%20%3D%2028)
Solve the equation for x
Collect like terms
![4x + 2 = 28](https://tex.z-dn.net/?f=4x%20%2B%202%20%3D%2028)
Move constant to R.H.S and change its sign
![4x = 28 - 2](https://tex.z-dn.net/?f=4x%20%3D%2028%20-%202)
Subtract the numbers
![4x = 26](https://tex.z-dn.net/?f=4x%20%20%3D%2026)
Divide both sides of the equation by 4
![\frac{4x}{4} = \frac{26}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B26%7D%7B4%7D%20)
Calculate
![x = \frac{26}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B26%7D%7B4%7D%20)
Reduce the numbers with 2
![x = \frac{13}{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B13%7D%7B2%7D%20)
Now, substitute the given value of x into the equation y = 2 - x
![y = 2 - \frac{13}{2}](https://tex.z-dn.net/?f=y%20%3D%202%20-%20%20%5Cfrac%7B13%7D%7B2%7D%20)
Solve the equation for y
![y = - \frac{9}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20)
The possible solution of the system is the ordered pair ( x , y )
<h2>
![(x \: y) = ( \frac{13}{2} , \: - \frac{9}{2} )](https://tex.z-dn.net/?f=%28x%20%5C%3A%20y%29%20%3D%20%28%20%5Cfrac%7B13%7D%7B2%7D%20%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20%5C%3A%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%29)
</h2>
-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
![5 \times \frac{13}{2} - \frac{9}{2} = 28](https://tex.z-dn.net/?f=5%20%5Ctimes%20%20%5Cfrac%7B13%7D%7B2%7D%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%3D%2028)
![\frac{13}{2} - \frac{9}{2} = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B2%7D%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%3D%202)
Simplify the equalities
![28 = 28](https://tex.z-dn.net/?f=28%20%3D%2028)
![2 = 2](https://tex.z-dn.net/?f=2%20%3D%202)
Since , all of the equalities are true, the ordered pair is the solution of the system.
![(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})](https://tex.z-dn.net/?f=%28x%20%20%5C%3A%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20y%20%5C%3A%20%29%20%3D%20%28%20%5Cfrac%7B13%7D%7B2%7D%20%20%5C%3A%20%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20-%20%20%5Cfrac%7B9%7D%7B2%7D%29%20)
Hope this helps....
Best regards!!