The work of a student to solve a set of equations is shown:Equation 1: m = 8 + 2n
Equation 2: 3m = 4 + 4n
Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]
Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]
Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]
Step 4:
0 = −24 − 2n
Step 5:
n = −12
In which step did the student first make an error?
Step 4
Step 3
Step 2
Step 1
Answers
Answer:
Step 3
Step-by-step explanation:
Hello
the student made a mistake in the step number 3.
let´s see
in the step number 1 he multiplied by -3 in order to add this new equation with equiation 2 and then eliminate the terms with m
Step one
-3(m)=-3(8+2n)
-3m= -24 - 6 n, it is ok
in step two he simplified, he did it well.
in the step 3 he added the equations
-3m = -24-6n
3m = 4 +4n
_____________
0 = -20-2n
he did not add properly -24+4, here , he made his first mistake.
step 4 is already wrong
continuing..to find n
0= -20-2n
20=-2n
n=-10
Have a great day
Related Questions
Need help with the equations thank you
Martene got a small aquarium for her birthday. the aquarium is a right rectangular prism 18.5cm long by 15cm wide. martene put 3885 cm of water in the aquarium. how deep is the water in the aquarium?
How does changing the scale change the distance represented?
1711What is the solution to the equation 4X-8-+żx?x=-5O x-4X-4x-5
3x – 7 = 2
A) (3, 7)
B) (7, -7)
C) (-3, 7)
D) (3/4, 2/5
Answers
Hi
4x-y=5
3x-7=2
We need to solve 3x-7=2 for x
Let's start by adding 7 to both sides
3x-7+7=2+7
3x=9
Now just divide both sides by 3 so we can find the value for x
3x/3=9/3
x=3
Now substitute 3 for x in 4x-y=5
4x-y=5
(4)(3)-y=5
-y+12=5
Now add -12
-y=12-12=5-12
-y=-7
Divide both sides by -1 so we can eliminate the negative sign
-y/-1=-7/-1
y=3
The answer is A
(3,7)
I hope that's help:0
Answers
Answer:
432 ft3
Answers
= 1/3 * 24 * 18
= 144 ft^3
Answers
Answer:
43.94 in total
Step-by-step explanation:
18% of 37.24 is 6.70 which would be the tip and adding those two numbers together would equal 43.94
Hope this helps. Plz give brainliest.
Answer: 37.42
Step-by-step explanation: first you need to add and point to the 18% like this 0.18 and add it to the first number
A. 4 five-dollar bills, 10 one-dollar bills
B. 3 five-dollar bills, 15 one-dollar bills
C. 5 five-dollar bills, 5 one-dollar bills
D. 5 five-dollar bills, 9 one-dollar bills
Answers
cause in the question says Sharon has 14 bills . and the whole amount is 30$ so . the only answer that is correct is A . you may think D is correct too , but you should notice that the sum of the bills is not 30 $
Answers
Answer:
They do form a proportion.
Step-by-step explanation:
To determine whether the two rates form a proportion, you can set up a proportion and check if the cross-products are equal.
The two rates you have are:
Rate 1: 7 inches in 9 hours
Rate 2: 42 inches in 54 hours
You can set up a proportion like this:
Rate 1 (inches per hour) / Rate 2 (inches per hour) = Time 1 (hours) / Time 2 (hours)
So, it becomes:
(7 inches / 9 hours) / (42 inches / 54 hours)
Now, let's calculate these fractions:
Rate 1 (inches pr hour) = (7 inches / 9 hours) ≈ 0.7778 inches per hour (rounded to 4 decimal places)
Rate 2 (inches per hour) = (42 inches / 54 hours) ≈ 0.7778 inches per hour (rounded to 4 decimal places)
Now, compare the two rates (rounded to 4 decimal places):
Rate 1 ≈ 0.7778 inches per hour
Rate 2 ≈ 0.7778 inches per hour
Since both rates are approximately equal to 0.7778 inches per hour, they do form a proportion. When two rates are in proportion, their ratios are equal, which is the case here.