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: $$\boxed{{\displaystyle 0}}$$