What is the result of adding these 2 equations 2x+7y=4 -2x-8y=-2
1 answer:
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Answer:
- see the attachment
- (x, y) = (1, 1)
Step-by-step explanation:
1. Since you have y > ..., the boundary line is dashed and the shading is above it (for y-values greater than the values on the line). The boundary line is ...
y = 2x+3
which has a y-intercept of 3 and a slope (rise/run) of 2. A graph is attached.
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2. You can add the two equations to eliminate y:
(3x +y) +(x -y) = (4) +(0)
4x = 4
x = 1
1 - y = 0 . . . . substitute into the the second equation
1 = y . . . . . . . add y
The solution is (x, y) = (1, 1).
For finding, the sum of last ten terms, we write the given AP in reverse order i.e, 126, 124, 122,..., 12, 10, 8
Hence,first term (a) = 126, common difference, (d) = 124 - 126
So,![S _{10} = \frac{10}{2} [ 2a + (10 - 1)d ] \:](https://tex.z-dn.net/?f=S%20_%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B2%7D%20%5B%202a%20%2B%20%2810%20-%201%29d%20%5D%20%5C%3A%20)
![= 5 [2(126) + 9( - 2) ]](https://tex.z-dn.net/?f=%20%3D%205%20%5B2%28126%29%20%2B%209%28%20-%202%29%20%5D%20)
Hence,first term (a) = 126, common difference, (d) = 124 - 126
So,