If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is
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5 points

2

4

5

6

Given that the point (2, 0) is a solution to the linear equation \(2x + 3y = k\), we can find the value of \(k\) by substituting the coordinates \(x = 2\) and \(y = 0\) into the equation.

### Substituting the values:
\[
2(2) + 3(0) = k
\]

This simplifies to:
\[
4 + 0 = k
\]
\[
k = 4
\]

Therefore, the value of \(k\) is \(4\).

### The correct answer is 4.

Do you want more details or have any other questions? Here are five related questions to explore further:

1. What is the general form of a linear equation?
2. How do you find the slope of a line from a linear equation?
3. How would you determine if a point lies on a given line?
4. What is the significance of the y-intercept in a linear equation?
5. How can you solve a system of linear equations?

**Tip:** Always double-check your substitution in equations to ensure accuracy in your final answer.

Learn how to find the value of k in the linear equation 2x + 3y = k using the point (2, 0) as a solution. This problem involves substituting the given coordinates into the equation and solving for k. Suitable for students in Grades 7-9.

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