Algebra Worksheets - Worksheet Digital - Free Printable

Let's solve each equation step by step to find the values of x and y. The worksheet contains 10 simple algebraic equations arranged in a grid.

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Step 1: Solve for x and y in each equation

We will solve each equation individually using basic algebra (adding or subtracting the same number from both sides).

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#### 1. $ x + 4 = 6 $

Subtract 4 from both sides:
$$
x = 6 - 4 = 2
$$
✔ So, $ x = 2 $

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#### 2. $ y - 4 = 8 $

Add 4 to both sides:
$$
y = 8 + 4 = 12
$$
✔ So, $ y = 12 $

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#### 3. $ y + 5 = 12 $

Subtract 5 from both sides:
$$
y = 12 - 5 = 7
$$
✔ So, $ y = 7 $

Wait — we already found $ y = 12 $ above, but now we get $ y = 7 $. That’s a contradiction unless these are separate problems.

But looking at the layout, this is a grid of independent equations, not a system where all must be consistent. So each row/column is a separate problem.

So let’s treat each as an individual equation to solve.

We’ll go through them one by one.

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Let's list all equations:

| Equation | Solution |
|--------|---------|
| 1. $ x + 4 = 6 $ | $ x = 6 - 4 = 2 $ |
| 2. $ y - 4 = 8 $ | $ y = 8 + 4 = 12 $ |
| 3. $ y + 5 = 12 $ | $ y = 12 - 5 = 7 $ |
| 4. $ x - 4 = 3 $ | $ x = 3 + 4 = 7 $ |
| 5. $ x + 0 = 11 $ | $ x = 11 $ |
| 6. $ y - 3 = 9 $ | $ y = 9 + 3 = 12 $ |
| 7. $ y + 3 = 15 $ | $ y = 15 - 3 = 12 $ |
| 8. $ x - 7 = 10 $ | $ x = 10 + 7 = 17 $ |
| 9. $ x + 6 = 24 $ | $ x = 24 - 6 = 18 $ |
|10. $ y - 10 = 15 $ | $ y = 15 + 10 = 25 $ |

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Now, summarize the results:

Each equation gives a value for either x or y.

Let’s collect all values:

- $ x = 2 $ (from eq 1)
- $ y = 12 $ (eq 2)
- $ y = 7 $ (eq 3)
- $ x = 7 $ (eq 4)
- $ x = 11 $ (eq 5)
- $ y = 12 $ (eq 6)
- $ y = 12 $ (eq 7)
- $ x = 17 $ (eq 8)
- $ x = 18 $ (eq 9)
- $ y = 25 $ (eq 10)

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But here's the key point:

The title says: "Find the value of x and y." — suggesting that there might be a single pair of values (x, y) that satisfy all equations.

But clearly, x takes multiple values (2, 7, 11, 17, 18) and y takes multiple values (7, 12, 25).

So it's not possible for one pair (x, y) to satisfy all 10 equations simultaneously.

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Therefore, the most reasonable interpretation is:

> This worksheet is designed to practice solving individual simple equations. Each equation is independent.

So instead of finding one value of x and y, you should solve each equation separately.

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✔ Final Answer: Solve each equation individually

Here are the solutions:

| Equation | Solution |
|--------|----------|
| $ x + 4 = 6 $ | $ x = 2 $ |
| $ y - 4 = 8 $ | $ y = 12 $ |
| $ y + 5 = 12 $ | $ y = 7 $ |
| $ x - 4 = 3 $ | $ x = 7 $ |
| $ x + 0 = 11 $ | $ x = 11 $ |
| $ y - 3 = 9 $ | $ y = 12 $ |
| $ y + 3 = 15 $ | $ y = 12 $ |
| $ x - 7 = 10 $ | $ x = 17 $ |
| $ x + 6 = 24 $ | $ x = 18 $ |
| $ y - 10 = 15 $ | $ y = 25 $ |

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Summary of Values:

- Values of x: 2, 7, 11, 17, 18
- Values of y: 7, 12, 25

But since each equation is separate, there is no single solution for x and y.

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✔ Conclusion:

This is a practice sheet for solving basic linear equations. The goal is to solve each equation independently.

You do not need to find one x and one y that work for all equations — because that's impossible.

Instead, solve each one:

- For any equation like $ x + a = b $, solve: $ x = b - a $
- For $ y - c = d $, solve: $ y = d + c $

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Let me know if you'd like the answers formatted in a table or printable format!