Fill in the missing number to complete the linear equation y = x + ?
Understand the Problem
The question asks to find the missing number to complete the linear equation for the given table. We must find the value that, when added to x, results in the corresponding y value in the table.
Answer
$13$
Answer for screen readers
13
Steps to Solve
- Analyze the table
Look at the relationship between $x$ and $y$ values. We need to find a number that, when added to $x$, gives us $y$.
- Choose a data point
Select any row from the table. Let's use the first row: $x = 3$ and $y = 16$.
- Substitute the values into the equation
Substitute $x=3$ and $y=16$ into the equation $y = x + ?$. This gives us $16 = 3 + ?$.
- Solve for the missing number
To find the missing number, subtract 3 from both sides of the equation: $16 - 3 = ?$. This simplifies to $13 = ?$.
- Check with another data point
Let's test our answer with another row, say $x = 4$ and $y = 17$. If our equation is $y = x + 13$, then $17 = 4 + 13$, which is true.
13
More Information
The equation that describes the relationship between $x$ and $y$ is $y = x + 13$. This means that for every value of $x$, the corresponding value of $y$ is 13 more than $x$.
Tips
A common mistake is to subtract $y$ from $x$ instead of $x$ from $y$. For example, calculating $3-16 = -13$
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