In this system of equations, I'll do elimination. Ok, so what we are trying to do is to eliminate a variable, but we can't. So since -2y is negative, and y has a coefficient of 1 and is positive, let's multiply the first whole equation by 2.
2 times (3x+y=11) is 6x+2y=22. (I just used distributive property.) Now let's add from left to right.
6x plus x is 7x, 2y plus -2y is 0, and 22 plus 6 is 28. Now we have this simple equation, 7x=28. We can simply divide each side by 7, to get x as 4. So x=4 in this set of equations. Now all we need to do is plug x in the equation then solve for y. For this system of equations, I'll use the first equation, because it is easier. So I'll plug x as 4 into the equation to get 12+y=11. Now we can simply solve for y. 11-12 is -1, so y must equal -1. So y=-1. Therefore, x=4 and y=-1. Hope I helped.
The answer would be 4 after dividing both sides by 8.
Answer:
1 hour 25 minutes
(or)
85 minutes
Step-by-step explanation:
Answer:
100% left handed people
20.6% = women
Not women who are left handed
=100-20.6
=79.4%
Answer:
![\sum_{n=1}^{25}(3n-2)=925]](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B25%7D%283n-2%29%3D925%5D)
Step-by-step explanation:
The given series is 
The first term of this series is
The second term is
The common difference is
The sum of the first n-terms is given by;
![S_n=\frac{n}{2}[2a_1+d(n-1)]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a_1%2Bd%28n-1%29%5D)
The sum of the first 25 terms of the series is
![S_{25}=\frac{25}{2}[2(1)+3(25-1)]](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cfrac%7B25%7D%7B2%7D%5B2%281%29%2B3%2825-1%29%5D)
![S_{25}=\frac{25}{2}[2+3(24)]](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cfrac%7B25%7D%7B2%7D%5B2%2B3%2824%29%5D)
![S_{25}=\frac{25}{2}(74)]](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cfrac%7B25%7D%7B2%7D%2874%29%5D)
![S_{25}=925]](https://tex.z-dn.net/?f=S_%7B25%7D%3D925%5D)
