Solve the system x+3y=22 2x-y=2
2 answers:
Answer: The required solution is (x, y) = (4, 6).
Step-by-step explanation: We are given to solve the following system of equations :
From equation (ii), we have
Substituting the value of y from equation (iii) in equation (i), we get
From equation (i), we get
Thus, the required solution is (x, y) = (4, 6).
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Answer:
Number of panels produced by Plant B is 8,000.
Step-by-step explanation:
The number of panels produced by Plant A = 16,000
The number of defective panels from A = 5%
Now, 5% of 16,000 =
So, out of 16,000 panels produced by pant A , 800 are defective. .. (1)
Let us assume number of panels produced by Plant B = m
The number of defective panels from B = 2%
Now, 2% of m =
So, out of total m panels produced by pant B , 0.02 m are defective. .. (2)
Now, total panels produced over all = Panels by A + Panels by B
= 16,000 + m
The percentage of defected panels over all = 4%
Now, 4% of (16,000 + m) =
Also, the total number of defective panels = Defective from A + Defective from B
⇒(0.04)(16,000 + m) = 800 + 0.02 m from (1) and (2)
or, 640 + 0.04 m = 800 + 0.02
or, 0.02 m = 160
⇒ m = 160 /0.02 = 8,000
or, m = 8,000
Hence, Number of panels produced by Plant B is 8,000.