check whether 7 and "-2" is solution of X - 5y = 15

To check whether \(x = 7\) and \(y = -2\) is a solution for the equation:

\[
x - 5y = 15
\]

we substitute \(x = 7\) and \(y = -2\) into the equation:

\[
7 - 5(-2) = 15
\]

Now, let's simplify:

\[
7 + 10 = 15
\]

\[
17 = 15
\]

Since \(17 \neq 15\), the pair \((7, -2)\) is **not** a solution to the equation \(x - 5y = 15\).

Would you like more details or have any questions?

### Related Questions:
1. What would be a correct solution for the equation \(x - 5y = 15\)?
2. How can you determine if a point is on the line of a given linear equation?
3. How to solve linear equations with two variables?
4. How does changing the coefficients of \(x\) and \(y\) affect the solution set of a linear equation?
5. What is the graphical interpretation of a solution to a linear equation?

### Tip:
When checking if a point is a solution to an equation, always substitute the values directly and simplify step-by-step to avoid errors.

Learn how to check whether the values x = 7 and y = -2 satisfy the linear equation x - 5y = 15. This problem involves substituting values into the equation and simplifying to determine if the pair (7, -2) is a solution. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation