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Using Algebra Tiles to Solve an Equation
Arrange the tiles on both boards to find the value of x.
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Board sum: 4x +(-3) = 5x +3
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Follow the steps using the algebra tiles to solve the
equation 4x+(-3)=5x+3.
1Add 4 negative x-tiles to both sides and create zero
pairs.
2. Add 3 negative unit tiles to both sides and create
zero pairs.

Answer 1

To solve the equation 4x + (-3) = 5x + 3 using algebra tiles, follow the steps to eliminate terms and isolate x.

Step-by-step explanation:

To solve the equation 4x + (-3) = 5x + 3 using algebra tiles, we can follow these steps:

1. Add 4 negative x-tiles to both sides to eliminate the 4x term on the left side. This creates zero pairs.
2. Add 3 negative unit tiles to both sides to eliminate the -3 term on the left side. This creates zero pairs.
3. After the elimination, we are left with 0 on the left side, and 1x + 3 on the right side.
4. This means that x + 3 = 0.
5. Lastly, subtract 3 from both sides to isolate x, giving us x = -3.

Therefore, the value of x in the given equation is x = -3.

Learn more about Solving equations using algebra tiles