Sherry uses the steps below to solve the equation x+ (-8) = 3x+6

step 1

step 2

step 3

step 4

add 1 negative x-tile to both sides and create zero pairs

add 8 positive unit tiles to both sides and create zero pairs.

divide the 14 unit tiles evenly among the 2 x-tiles

the solution is x= 7

what is sherry's error?

See explanation

Step-by-step explanation:

Sherry has the equation

1 step: Add 1 negative x-tile to both sides and create zero pairs:

2 step: Add 8 positive unit tiles to both sides and create zero pairs:

3 step: Add 14 negative unit tiles to both sides and create zero pairs:

4 step: Divide the 14 negatuve unit tiles evenly among the 2 x-tiles:

5 step: The solution is

Or Sherry can combine step 2 and 3 and having the equation add 6 negative unit tiles to both sides and create zero products:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,