https://file.aiquickdraw.com/mathbot/file/1726196650021twsgrvsq.jpg

The image seems to depict an online homework system where you are verifying the correctness of several values, likely related to solving systems of equations. The answers provided in the left-hand column are matched against the "correct" results in the right-hand column, all of which appear to be marked correct. 

Below this, there are instructions to check if a pair \((x, y)\) satisfies a given linear equation.

Here's what is happening in the lower part:
1. You are asked to check if \((3, 5)\) is a solution to the equation \( y = 2x - 1 \).
2. You substitute \( x = 3 \) and \( y = 5 \) into the equation to see if the result is true.

Would you like help verifying any particular step or concept from this? 

Here are five related questions you might find useful:
1. How do you solve a system of equations with two variables?
2. What does it mean for a point \((x, y)\) to be a solution to a linear equation?
3. How do you check if a solution is correct when solving for variables in an equation?
4. What are some methods for solving systems of linear equations?
5. How can graphing help in solving systems of equations?

**Tip:** When checking whether a pair \((x, y)\) satisfies a linear equation, always plug both values into the equation and simplify to see if both sides match.

Suppose we want to figure out if (3, 5) is a solution to the equation y = 2x - 1.

This problem helps students understand how to verify if a pair of values is a solution to a linear equation by substituting x and y into the equation y = 2x - 1. Suitable for Grades 8-10, this problem focuses on the concept of solving systems of equations through substitution.

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