Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 25, 2023

Solve the linear equation $x + 3 = 10$ using algebra tiles.

STEP 1

Assumptions1. We are solving the equation $x+3=10$ using algebra tiles. . Algebra tiles are a visual representation of algebraic equations. In this case, we'll use a single tile to represent1, and an "x" tile to represent $x$ .
3. We are solving for $x$ .

STEP 2

First, we set up the equation using the algebra tiles. On one side of the equation, we have one "x" tile and three single tiles. On the other side, we have ten single tiles.
$x + =10$

STEP 3

The goal is to isolate $x$ on one side of the equation. To do this, we can remove the same number of tiles from both sides of the equation. In this case, we remove three single tiles from both sides.
$x +3 -3 =10 -3$

STEP 4

After removing the tiles, we simplify the equation.
$x =10 -3$

STEP 5

Finally, we calculate the value of $x$ .
$x =10 -3 =7$ So, the solution to the equation $x+3=10$ is $x=7$ .

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