Answer:
graph below
Step-by-step explanation:
Recall that
![(x+y)^2=x^2+2xy+y^2](https://tex.z-dn.net/?f=%28x%2By%29%5E2%3Dx%5E2%2B2xy%2By%5E2)
. So we can add twice the first equation to the second one to get
![x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4](https://tex.z-dn.net/?f=x%5E2%2By%5E2%2B2xy%3D10%2B2%5Ccdot3%5Ciff%28x%2By%29%5E2%3D16%5Cimplies%20x%2By%3D%5Cpm4)
Since
![xy=3](https://tex.z-dn.net/?f=xy%3D3)
, we have
![(x\neq0)](https://tex.z-dn.net/?f=%28x%5Cneq0%29)
so
![x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0](https://tex.z-dn.net/?f=x%2By%3Dx%2B%5Cdfrac3x%3D%5Cpm4%5Cimplies%20x%5E2%5Cmp4x%2B3%3D0)
If
![x+y=4](https://tex.z-dn.net/?f=x%2By%3D4)
, then
![x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3](https://tex.z-dn.net/?f=x%5E2-4x%2B3%3D%28x-3%29%28x-1%29%3D0%5Cimplies%20x%3D3%2Cx%3D1%5Cimplies%20y%3D1%2Cy%3D3)
If
![x+y=-4](https://tex.z-dn.net/?f=x%2By%3D-4)
, then
![x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1](https://tex.z-dn.net/?f=x%5E2%2B4x%2B3%3D%28x%2B1%29%28x%2B3%29%3D0%5Cimplies%20x%3D-1%2Cx%3D-3%5Cimplies%20y%3D-3%2Cy%3D-1)
So the solution set is
Step-by-step explanation:
The solution to this problem requires that we find other units besides the given one
1. ft/sec
2. km/h
3.m/s
1. converting to ft/sec
1 mile is 5280 ft
![=\frac{45mile}{hour}* \frac{5280feet}{1 mile} *\frac{1 hours}{3600 secs} \\\\=66 ft/sec](https://tex.z-dn.net/?f=%3D%5Cfrac%7B45mile%7D%7Bhour%7D%2A%20%5Cfrac%7B5280feet%7D%7B1%20mile%7D%20%2A%5Cfrac%7B1%20hours%7D%7B3600%20secs%7D%20%5C%5C%5C%5C%3D66%20ft%2Fsec)
2. converting to km/h
1 mile is 1.60934
![=\frac{45mile}{hour}* \frac{1.60934km}{1 mile} *\frac{1 hours}{1hour} \\\\=72.42km/h](https://tex.z-dn.net/?f=%3D%5Cfrac%7B45mile%7D%7Bhour%7D%2A%20%5Cfrac%7B1.60934km%7D%7B1%20mile%7D%20%2A%5Cfrac%7B1%20hours%7D%7B1hour%7D%20%5C%5C%5C%5C%3D72.42km%2Fh)
3. converting to m/s
1 mile is 1609.34
![=\frac{45mile}{hour}* \frac{1609.34km}{1 mile} *\frac{1 hours}{3600 sec} \\\\=20.11m/s](https://tex.z-dn.net/?f=%3D%5Cfrac%7B45mile%7D%7Bhour%7D%2A%20%5Cfrac%7B1609.34km%7D%7B1%20mile%7D%20%2A%5Cfrac%7B1%20hours%7D%7B3600%20sec%7D%20%5C%5C%5C%5C%3D20.11m%2Fs)
Answer:
x=0, y=2. (0, 2).
Step-by-step explanation:
3x+2y=4
8x-3y=-6
---------------
3(3x+2y)=3(4)
2(8x-3y)=2(-6)
-----------------------
9x+6y=12
16x-6y=-12
----------------
25x=0
x=0/25
x=0
3(0)+2y=4
0+2y=4
2y=4-0
2y=4
y=4/2
y=2