![\\ \sf\longmapsto 3x+3y=6\dots(1)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%203x%2B3y%3D6%5Cdots%281%29)
![\\ \sf\longmapsto 5x-6y=15\dots(2)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%205x-6y%3D15%5Cdots%282%29)
Multiply eq(1) by 2 and eq(2) by 1
![\\ \sf\longmapsto 6x+6y=12](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%206x%2B6y%3D12)
![\\ \sf\longmapsto 5x-6y=15](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%205x-6y%3D15)
![\\ \sf\longmapsto 11x=27](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%2011x%3D27)
![\\ \sf\longmapsto x=\dfrac{27}{11}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D%5Cdfrac%7B27%7D%7B11%7D)
Now
Put in eq(1)
![\\ \sf\longmapsto 3\dfrac{27}{11}+3y=6](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%203%5Cdfrac%7B27%7D%7B11%7D%2B3y%3D6)
![\\ \sf\longmapsto \dfrac{81}{11}+3y=6](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cdfrac%7B81%7D%7B11%7D%2B3y%3D6)
![\\ \sf\longmapsto 3y=6-\dfrac{81}{11}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%203y%3D6-%5Cdfrac%7B81%7D%7B11%7D)
![\\ \sf\longmapsto 3y=\dfrac{66-81}{11}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%203y%3D%5Cdfrac%7B66-81%7D%7B11%7D)
![\\ \sf\longmapsto 3y=\dfrac{15}{11}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%203y%3D%5Cdfrac%7B15%7D%7B11%7D)
![\\ \sf\longmapsto y=\dfrac{15}{33}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20y%3D%5Cdfrac%7B15%7D%7B33%7D)
Always remember.... x= -14
Answer:
(2, 14), (3, 7)
Step-by-step explanation:
The way these angles are numbered, corresponding angle numbers differ by 4, 8, or 12.
Corresponding angles are ...
Angle 2 and Angle 14 . . . . . . numbers differ by 12
Angle 3 and Angle 7 . . . . . . . numbers differ by 4
_____
If a given angle is Northwest of the intersection, any corresponding angle will also be Northwest of its intersection. Corresponding angles are ...
northwest: {1, 5, 9, 13}
northeast: {2, 6, 10, 14}
southeast: {3, 7, 11, 15}
southwest: {4, 8, 12, 16}
Any pair of numbers from the same set will be corresponding angles.
Answer:
A
Step-by-step explanation:
This is a linear function whose slope is -3 and whose y-intercept is (0, 2). Answer A is correct.
I am going to explain this using the substitution method, considering it appears to be the best in this situation.
We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:
3x+20=x^2+2x
Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you
x+20=x^2
Now, we take the square root of both sides to get
rad(x+20)=x
Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes
2rad(x+5)
This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...