Marge said that she subtracted 20 from both sides of an equation to solve it. Kollin thinks that the equation she was solving could have been 6+t=20. Does Kollin's reasoning make sense? Explain.
It doesn't make sense to me.
No it does not make sense. If u take 20 from 6, it would be -14. The variable is 14. It is understood that 6+14=20. In conclusion, the answer doesn’t make senese because u can not subtract 20 from both sides
Kollin's reasoning does not make sense. Let's analyze the equation 6+t=20.
If Marge subtracted 20 from both sides of the equation, it would become:
6+t-20=20-20
This simplifies to:
t-14=0
However, this is not the same equation as 6+t=20. So, Kollin's reasoning does not make sense because the equation he suggests does not match the equation that Marge was solving by subtracting 20 from both sides.
To determine if Kollin's reasoning makes sense, we need to assess Marge's claim and the equation she was solving.
According to Marge, she subtracted 20 from both sides of an equation to solve it. This means that her ultimate goal was likely to isolate a variable on one side of the equation.
Now let's examine the equation Kollin suggested, which is 6+t=20. To solve this equation, we want to isolate the variable 't' by getting rid of the constant term, which is 6 in this case.
To do this, we can apply the opposite operation to both sides of the equation. Since we want to eliminate the positive 6, we should subtract 6 from both sides. This gives us:
6 + t - 6 = 20 - 6
This simplifies to:
t = 14
Therefore, Kollin's reasoning is incorrect because Marge's claim does not align with the equation 6+t=20. If Marge had subtracted 20 from both sides as she claimed, the original equation might have been different.
In summary, Kollin's reasoning does not make sense in the context of Marge's statement because the equation he provided does not match the process that Marge described.