Your friend incorrectly says the solution to the equation 11.2y - 7.4y=141.36 is y=7.6 what error did your friend make? A) Divid

Question

3 years ago

6

ed incorrectlyB) Added 7.4y+11.2y C) Solved for 1/y instead of yD) Subtracted like terms incorrectly

1 answer:

krek1111 [17] · Answer 1 · 2022-07-17T10:45:43+03:00

The correct answer is: D) Subtracted like terms incorrectly

Step-by-step explanation:

Given

$11.2y - 7.4y=141.36$

The terms 11.2y-7.4y need to be subtracted. But option b is to add them. We will add them and then solve the equation to see if its right.

So adding 11.2y-7.4y

$18.6y=141.36$

Dividing both sides by 18.6

$\frac{18.6y}{18.6}=\frac{141.36}{18.6}\\y=7.6$

so by adding the terms instead of subtracting we get y=7.6.

this means that the error was adding 7.4y-11.2y instead of subtracting

The correct method will be:

$11.2y - 7.4y=141.36\\3.8y=141.36$

Dividing both sides by 3.8

$\frac{3.8y}{3.8}=\frac{141.36}{3.8}\\y=37.2$

Hence,

The correct answer is: D) Subtracted like terms incorrectly

Keywords: Linear equation, Expression

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