Answer:
Answer is below
Step-by-step explanation:
Idk if it 430 or 436 but if it is 436.051 that goes first
then 435.786
435.100
if it is 430.051 then it is in the order of
435.781
435.100
430.051
Answer:
(arranged from top to bottom)
System #3, where x=6
System #1, where x=4
System #7, where x=3
System #5, where x=2
System #2, where x=1
Step-by-step explanation:
System #1: x=4
![2x+y=10\\x-3y=-2](https://tex.z-dn.net/?f=2x%2By%3D10%5C%5Cx-3y%3D-2)
To solve, start by isolating your first equation for y.
![2x+y=10\\y=-2x+10](https://tex.z-dn.net/?f=2x%2By%3D10%5C%5Cy%3D-2x%2B10)
Now, plug this value of y into your second equation.
![x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4](https://tex.z-dn.net/?f=x-3%28-2x%2B10%29%3D-2%5C%5Cx%2B6x-30%3D-2%5C%5C7x%3D28%5C%5Cx%3D4)
System #2: x=1
![x+2y=5\\2x+y=4](https://tex.z-dn.net/?f=x%2B2y%3D5%5C%5C2x%2By%3D4)
Isolate your second equation for y.
![2x+y=4\\y=-2x+4](https://tex.z-dn.net/?f=2x%2By%3D4%5C%5Cy%3D-2x%2B4)
Plug this value of y into your first equation.
![x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1](https://tex.z-dn.net/?f=x%2B2%28-2x%2B4%29%3D5%5C%5Cx%2B%28-4x%29%2B8%3D5%5C%5Cx-4x%2B8%3D5%5C%5C-3x%3D-3%5C%5Cx%3D1)
System #3: x=6
![5x+y=33\\x=18-4y](https://tex.z-dn.net/?f=5x%2By%3D33%5C%5Cx%3D18-4y)
Isolate your first equation for y.
![5x+y=33\\y=-5x+33](https://tex.z-dn.net/?f=5x%2By%3D33%5C%5Cy%3D-5x%2B33)
Plug this value of y into your second equation.
![x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6](https://tex.z-dn.net/?f=x%3D18-4%28-5x%2B33%29%5C%5Cx%3D18%2B20x-132%5C%5C-19x%3D-114%5C%5Cx%3D6)
System #4: all real numbers (not included in your diagram)
![y=13-2x\\8x+4y=52](https://tex.z-dn.net/?f=y%3D13-2x%5C%5C8x%2B4y%3D52)
Plug your value of y into your second equation.
![8x+4(13-2x)=52\\8x+52-8x=52\\0=0](https://tex.z-dn.net/?f=8x%2B4%2813-2x%29%3D52%5C%5C8x%2B52-8x%3D52%5C%5C0%3D0)
<em>all real numbers are solutions</em>
System #5: x=2
![x+3y=5\\6x-y=11](https://tex.z-dn.net/?f=x%2B3y%3D5%5C%5C6x-y%3D11)
Isolate your second equation for y.
![6x-y=11\\-y=-6x+11\\y=6x-11](https://tex.z-dn.net/?f=6x-y%3D11%5C%5C-y%3D-6x%2B11%5C%5Cy%3D6x-11)
Plug in your value of y to your first equation.
![x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2](https://tex.z-dn.net/?f=x%2B3%286x-11%29%3D5%5C%5Cx%2B18x-33%3D5%5C%5C19x%3D38%5C%5Cx%3D2)
System #6: no solution (not included in your diagram)
![2x+y=10\\-6x-3y=-2](https://tex.z-dn.net/?f=2x%2By%3D10%5C%5C-6x-3y%3D-2)
Isolate your first equation for y.
![2x+y=10\\y=-2x+10](https://tex.z-dn.net/?f=2x%2By%3D10%5C%5Cy%3D-2x%2B10)
Plug your value of y into your second equation.
![-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2](https://tex.z-dn.net/?f=-6x-3%28-2x%2B10%29%3D-2%5C%5C-6x%2B6x-30%3D-2%5C%5C-30%3D-2)
<em>no solution</em>
System #7: x=3
![y=10+x\\2x+3y=45](https://tex.z-dn.net/?f=y%3D10%2Bx%5C%5C2x%2B3y%3D45)
Plug your value of y into your second equation.
![2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3](https://tex.z-dn.net/?f=2x%2B3%2810%2Bx%29%3D45%5C%5C2x%2B30%2B3x%3D45%5C%5C5x%3D15%5C%5Cx%3D3)
The answer is
h= -41.36
You first multiply -8.1(-0.4) and you get 3.24.
Then you subtract 3.24 - 44.6 to get h.
4(3x + 12) = -6(-8-2x)
12x + 48 = 48 +12x
12x + 18 = 12x + 48
0 = 0
answer is A. infinitely many solutions