On the left side of a line, there are 6 rectangles, each labeled x, and 3 squares, each labeled negative 1. On the right side of the line, there are 3 squares, each labeled negative 1.

Question

The algebra tiles represent an equation.

What is the solution to the equation?

(1 point)
Responses

x=0
x equals 0

x=−1
x equals negative 1

x=1
x equals 1

x=−6

Answer 1

To represent the equation based on the information provided, let's analyze the algebra tiles:

On the left side, you have:

• 6 rectangles labeled \( x \) (which represents \( 6x \))
• 3 squares labeled \( -1 \) (which represents \( -3 \))

On the right side, you have:

• 3 squares labeled \( -1 \) (which represents \( -3 \))

From this, we can set up the equation: \[ 6x - 3 = -3 \]

To solve for \( x \), first, we can add 3 to both sides: \[ 6x - 3 + 3 = -3 + 3 \] This simplifies to: \[ 6x = 0 \]

Next, divide both sides by 6: \[ x = 0 \]

So, the solution to the equation is: \[ \boxed{0} \]