Step-by-step explanation:
The error carolyn has made is that she hasn't subtracted properly.
2x + 3y - (2x +6y) = 2x - 2x + 3y - 6y = -3y.
Carolyn probably didn't use parentheses...
To do the thing in substitution, we single out x or y in any equation. In this case, i'm gonna single out the x in the 2nd eqn. In other words, i'll make x the subject of the 2nd eqn.
2x + 6y = 10
2x = 10 - 6y
x = 5 - 3y
Now we simply plug in 5 - 3y wherever x apperas in the 1st equation.
2 (5-3y) + 3y = 8
10 - 6y + 3y = 8
10 - 3y = 8
-3y = -2
y = 2/3
Then x = 5 - 3*2/3 = 3
x=3
y=2/3
Hope it helps:)
The volume of the rectangular prism is 3359232 cubic centimeters
<h3>How to determine the volume?</h3>
The length of the cube is given as:
Length, l = 12 cm
The volume of a cube is:

So, we have:

Evaluate
V = 1728
The volume of 1944 cubes is then calculated as:
Volume = 1728 * 1944
Evaluate
Volume = 3359232
Hence, the volume of the rectangular prism is 3359232 cubic centimeters
Read more about volumes at:
brainly.com/question/1972490
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<h3>Complete question</h3>
There are exactly 1,944 of the 12 cm, or 0.5 foot cubes inside a rectangular prism. What is the volume of the rectangular prism in cubic centimeters?
Answer:
18
Step-by-step explanation:
243÷13=18remainder9
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