Which step contains a mistake in solving the equation: 3x - 7 = 2 + x

Step 1: 2x - 7 = 2

Step 2: 2x = 5

Step 3: x = 5/2


Responses

Step 1 - should have added x to both sides
Step 1 - should have added x to both sides

Step 2: should have added 7 to both sides
Step 2: should have added 7 to both sides

Step 3: should have divided by 5 on both sides
Step 3: should have divided by 5 on both sides

There is no mistake. This equation was solved correctly.
There is no mistake. This equation was solved correctly.

5 answers

The mistake in solving the equation is in Step 1. The correct step should be:

Step 1: 3x - 7 + x = 2 + x

This error is an incorrect application of the distributive property.
Which equation has the same first step for solving it as the equation: x/4 - 3 = 12
12x + 3 = -4
x/3 - 4 = 12
x/12 - 4 = 3
4x - 3 = 12
4x - 12 = 3
The equation that has the same first step for solving it as the equation x/4 - 3 = 12 is:

x/12 - 4 = 3
The length of a rectangle is four meters less than twice its width.

If the area of the rectangle is 96 m^2, what is the length and the width?

An expression for the length of the rectangle in terms of the width would be ?

The formula for the area of a rectangle is ?

Using trial and error, if the area is 96 m^2, then the length and width are ?
An expression for the length of the rectangle in terms of the width would be:

Length = 2w - 4

The formula for the area of a rectangle is:

Area = Length * Width

Using trial and error, we can find the length and width of the rectangle if the area is 96 m^2:

Let's start by trying different possible widths and calculating the corresponding length:

Width: 4 m, Length: (2*4) - 4 = 4 m
Area = 4m * 4m = 16 m^2 (not equal to 96 m^2)

Width: 6 m, Length: (2*6) - 4 = 8 m
Area = 8m * 6m = 48 m^2 (not equal to 96 m^2)

Width: 8 m, Length: (2*8) - 4 = 12 m
Area = 12m * 8m = 96 m^2 (equal to 96 m^2)

Therefore, if the area is 96 m^2, the length of the rectangle is 12 meters and the width is 8 meters.