the point which is the solution of 2x-3y-6=0 is

The equation given is:

\[
2x - 3y - 6 = 0
\]

We can solve for points \((x, y)\) that satisfy this equation. This equation represents a line, and there are infinitely many points that satisfy it. However, if you are looking for specific solutions, we can find some by choosing values for \(x\) or \(y\) and solving for the other variable.

### 1. Solving for \(y\) when \(x = 0\):
\[
2(0) - 3y - 6 = 0
\]
\[
-3y = 6
\]
\[
y = -2
\]
So, one solution is the point \((0, -2)\).

### 2. Solving for \(x\) when \(y = 0\):
\[
2x - 3(0) - 6 = 0
\]
\[
2x = 6
\]
\[
x = 3
\]
So, another solution is the point \((3, 0)\).

Therefore, two points that are solutions of the equation are:
- \((0, -2)\)
- \((3, 0)\)

Would you like more details on solving for specific points or how to interpret this geometrically?

Here are some relative questions:
1. What is the slope of the line given by this equation?
2. How do you find the intercepts of a line?
3. Can we write the equation in slope-intercept form?
4. How would you determine if a point is on the line?
5. What is the general form of a linear equation in two variables?

**Tip**: To find a solution for an equation involving two variables, try assigning values to one variable and solve for the other!

The point which is the solution of 2x - 3y - 6 = 0 is

Learn how to find points that satisfy the linear equation 2x - 3y - 6 = 0. This problem explores fundamental algebraic concepts, including solving for variables in a linear equation and plotting points on a graph. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation