Answer:
C
Step-by-step explanation:
We have the system of equations:
![\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bll%7D2x-5y%3D-5%20%5C%5C%20x%2B2y%3D11%5Cend%7Barray%7D)
And an ordered pair (10, 5).
In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.
So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.
Let’s test the ordered pair. Substituting the values into the first equation, we acquire:
![2(10)-5(5)\stackrel{?}{=}-5](https://tex.z-dn.net/?f=2%2810%29-5%285%29%5Cstackrel%7B%3F%7D%7B%3D%7D-5)
Evaluate:
![20-25\stackrel{?}{=}-5](https://tex.z-dn.net/?f=20-25%5Cstackrel%7B%3F%7D%7B%3D%7D-5)
Evaluate:
![-5\stackrel{\checkmark}{=} -5](https://tex.z-dn.net/?f=-5%5Cstackrel%7B%5Ccheckmark%7D%7B%3D%7D%20-5)
So, our ordered pair satisfies the first equation.
Now, we must test it for the second equation. Substituting gives:
![(10)+2(5)\stackrel{?}{=} 11](https://tex.z-dn.net/?f=%2810%29%2B2%285%29%5Cstackrel%7B%3F%7D%7B%3D%7D%2011)
Evaluate:
![20\neq 11](https://tex.z-dn.net/?f=20%5Cneq%2011)
So, the ordered pair does not satisfy the second equation.
Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.
Therefore, our answer is C.
Answer:
3x6+3x1+4x3
Step-by-step explanation:
The answer in inequality form is t< -6.7
![-np-80 < 60\qquad\text{change the signs}\\\\np+80](https://tex.z-dn.net/?f=-np-80%20%3C%2060%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5Cnp%2B80%3C-60%5Cqquad%5Ctext%7Bsubtract%2080%20from%20both%20sides%7D%5C%5C%5C%5Cnp%3C-140%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%20p%5Cneq0%5C%5C%5C%5Cif%5C%20p%3E0%2C%5C%20then%5C%20n%3C-%5Cdfrac%7B140%7D%7Bp%7D%5C%5C%5C%5Cif%5C%20p%20%3C0%5C%20then%5C%20n%3E-%5Cdfrac%7B140%7D%7Bp%7D)
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![2a-5d=30\qquad\text{subtract 2a from both sides}\\\\-5d=-2a+30\qquad\text{change the signs}\\\\5d=2a-30\qquad\text{divide both sides by 5}\\\\d=0.4a-6](https://tex.z-dn.net/?f=2a-5d%3D30%5Cqquad%5Ctext%7Bsubtract%202a%20from%20both%20sides%7D%5C%5C%5C%5C-5d%3D-2a%2B30%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5C5d%3D2a-30%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%205%7D%5C%5C%5C%5Cd%3D0.4a-6)
Answer:
![y=\frac{1}{3} x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%20x%2B4)
Step-by-step explanation:
Slope-intercept from is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m is the slope and b is the y-intercept. Insert slope:
![y=\frac{1}{3}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2Bb)
The y-intercept is at point (0,4). The y-intercept is when x equals 0, so take the value of y and insert into the equation:
![y=\frac{1}{3} x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%20x%2B4)
Finito.