The solution of the given equation is (3,6). The correct option is B.(3,6)
<h3>Given equations,</h3>
![y=x+3.......(1)\\4x+y=18.....(2)](https://tex.z-dn.net/?f=y%3Dx%2B3.......%281%29%5C%5C4x%2By%3D18.....%282%29)
<h3>How to solve the equations?</h3>
putting the value of y from equation (1) in equation (2) , we get
![4x+x+3=18\\](https://tex.z-dn.net/?f=4x%2Bx%2B3%3D18%5C%5C)
![5x=18-3\\5x=15\\x=3](https://tex.z-dn.net/?f=5x%3D18-3%5C%5C5x%3D15%5C%5Cx%3D3)
substitute the value of x=3 in equation (1) we get,
![y=3+3\\y=6](https://tex.z-dn.net/?f=y%3D3%2B3%5C%5Cy%3D6)
Hence, the solution of given equation is (3,6).
So, the correct option is B.
For more details about the system of equations, follow the link:
brainly.com/question/12895249
You would solve using elimination.
y=1
x=-1
The distance between planet 2 and sun is of 32.7 million miles.
Let the distance between planet 2 and sun = x
Distance between planet 1 and sun = 32.7 + x
Distance between planet 3 and sun = (32.7 + x) + 26.5
= 59.2 + x
According to question,
Distance between planet 1 and sun + distance between planet 2 and sun + Distance between planet 3 and sun = 190
(32.7 + x) + x + (59.2 + x) = 190
3x + 91.9 = 190
3x = 190 - 91.9
3x = 98.1
x = 98.1 / 3
x = 32.7
Hence, Distance between planet 2 and sun is 32.7 million miles.
Learn more about distance on:
brainly.com/question/15172156
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<span>my answer to you would be that for this kind of a sequence, there is a fixed way of finding the nth term value
let's get these basics straight first:
1) Un= the nth term value
for eg. U1 = 1st term value
2) a = first term
3) d = difference
Ok now the first step to finding the nth term is finding the constant difference
in the example that you gave the constant difference is 1.5
ie 1.5 is being added on each time
now the fixed rule for finding the nth term is :
Un = a + d(n-1)
why?
because let's take a common example of a linear sequence, a sequence with a constant first term ( so called because it forms a line when drawn in a graph):
first term is a so,
a, a+d, a+2d, a+3d......a(n-1)d
(because the coefficient of d is one less than the term number)
so putting this into your q:
a = 5.5
d=1.5
Un=a + d (n-1)
Un=5.5 + 1.5(n-1)
Un=5.5 + 1.5n - 1.5
Un=4+ 1.5n
there you go it works...
for other types like quadratic cubic and geometric progression, its a totally different story
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