Complete the missing value in the solution to the equation. y=2x+5 x=2
2 answers:
You might be interested in
Answer:
The north campus had while the south campus had
.
Step-by-step explanation:
The question stated that there are students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.
Let denote the number of students in the north campus before the merger. The other
students would all belong to the south campus before the merger.
Before the merger, of the students of the north campus are of music majors. In terms of
, that's
students.
On the other hand, of the students of the south campus are of music majors. That corresponds to
students.
With a similar logic, the number of music students in the merged east campus will be .
The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:
.
Solve for :
.
In other words, there are students in the north campus and
students in the south campus before the merger.
In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123
Answer: 1.8 servings of soybean and 1.2 servings rice will be needed.
Step-by-step explanation:
Let x be the number of soybeans and y be the number of rice.
Then , According to the question , we have
Multiply 2 on both the sides of equation (2), we get
Subtract equation (2) from equation (3), we get
Put x = 1.8 in equation (2), we get
Hence, 1.8 servings of soybean and 1.2 servings rice will be needed.