Mathematics: Find the error then show the correct way step by step.

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Find the error then show the correct way step by

Ответ:

sancho7511

13.03.2021

Question 4

The error was that in step 2, when distributing -3 into the parentheses, the person did not change the sign of 24 so that it was negative, since a negative number multiplied by a positive number will always make a negative number. Here is the correct way to solve this equation:

$-5x+12-7x=-3(5x+8)\\-12x+12=-3(5x+8)$

Distrubute -3 into the parentheses

-12x+12=-15x-24

Subtract both sides by 12

$-12x+12-12=-15x-24-12\\-12=-15x-36$

Add 15x to both sides

$-12+15x=-15x-36+15x\\3x=-36$

Divide both sides by 3

$\frac{3x}{3} =\frac{-36}{3} \\x=-12$

Question 5

The error was that 2 was added on both sides in step 5 instead of being subtracted from both sides. Here is the correct way to do it, starting from step 4:

10=16x+2

Subtract both sides by 2

$10-2=16x+2-2\\8=16x$

Divide both sides by 16

$\frac{8}{16} =\frac{16x}{16} \\\frac{1}{2}=x$

I hope this helps!

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