The answer is (6, 7)
This is the system of two equations:
<span>2y − x = 8
y − 2x = −5
_____
Express the second equation in the term of y:
2y - x = 8
y = 2x - 5
_____
Substitute y in the first equation:
2(2x - 5) - x = 8
4x - 10 - x = 8
4x - x = 10 + 8
3x = 18
x = 18/3
x = 6
Since x = 6 and y = 2x - 5, then:
y = 2 * 6 - 5
y = 12 - 5
y = 7
Therefore, (x, y) = (6, 7)</span>
Using the midpoint concept, it is found that the value of a is of a = 2.
<h3>What are the coordinates of the points?</h3>
Researching this problem on a search engine, the coordinates are given as follows:
<h3>What is the midpoint concept?</h3>
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the following system of equations can be built:
(b + 1 + 2a)/2 = 3.
b + 1 + 2a = 6.
b = 5 - 2a.
(a + 2 + 3b + 3)/2 = 5
a + 3b + 5 = 10
a + 3b = 5.
Since b = 5 - 2a, we have that:
a + 15 - 6a = 5.
5a = 10
a = 10/5
a = 2.
The value of a is of a = 2.
More can be learned about the mid-point concept at brainly.com/question/10956693
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Mistake:
Step 2
Instead of multiplying it should divide:
(5a^2/ 9b^2) / (3a / b^2 a)
(5a^2 / 9b^2) * (b^2a / 3a)
5a^2b^2 / 27b^2a
b^2 / b^2 = 1
a^2 / a = a
5a / 27
3j + 2s = 79.38
3s + 2j = 75.12. 3s + 2j - 3s = -3s + 75.12. 2j/2 = -3/2s + 75.12/2.
j = -1.5s + 37.56
Then you can use substitution
3(-1.5s + 37.56) + 2s = 79.38
-4.5s + 112.68 + 2s = 79.38
-2.5s + 112.68 - 112.68 = 79.38 - 112.68
-2.5s = -33.30
-2.5s/-2.5 = -33.30/-2.5
s = 13.32
So s is 13.32 so you plug that back in and solve for j
3j + 26.64 = 79.38
3j + 26.64 - 26.64 = 79.38 - 26.64
3j = 52.74
3j/3 = 52.74/3
j = 17.58
So in Japan tickets average 17.58 and in Switzerland they average 13.32
