How do you solve this system of equation? 2x+4y=-4 3x + 5y =-3
1 answer:
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find <em>x</em> using <em>y</em>
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
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Answer:
The doctor's dosage was not appropriate.
The right dosage is from 56.625 mg to 113.25 mg of Antibiotic to be given every 6 hour for the child with weight 25 lbs.
Step-by-step explanation:
It is given that 20 to 40 mg/kg/day is the recommended dosage.
Now, the doctor's order is 150 mg of antibiotic to be given every 6 hours. And my child weighs 25 lbs.
Now, 1 lb is equivalent to 0.453 kg.
So, my child's weight is (25 × 0.453) = 11.325 kg.
So, the doctor's order is 150 mg of antibiotic to be given every 6 hours for a child of weight 11.325 kg.
Hence, the dosage is [(150 × 4) ÷ 11.325] = 52.98 mg/kg/day.
So, this is not within the limit of 20 to 40 mg/kg/day.
Therefore, the doctor's dosage was not appropriate.
Now, let the appropriate dosage is x mg per every 6 hours for a child with weight 25 lbs i.e. 11.325 kg.
So,
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So, the right dosage is from 56.625 mg to 113.25 mg of antibiotic to be given every 6 hours for the child with weight 25 lbs. (Answer)