Question

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

Answer 1

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

`(3x)/(3) =(-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

`(8)/(16) =(16x)/(16) \\(1)/(2)=x`

I hope this helps!