Determine whether ​(99​,1515​) is a solution of y equals 17 x minus 14.

To determine whether the point \((99, 1515)\) is a solution of the equation \(y = 17x - 14\), we need to substitute the coordinates of the point into the equation and check if the equation holds true.

The equation is:
\[
y = 17x - 14
\]

Substitute \(x = 99\) and \(y = 1515\) into the equation:
\[
1515 = 17(99) - 14
\]

Now, calculate the right side:
\[
17 \times 99 = 1683
\]
\[
1683 - 14 = 1669
\]

So, after substituting the values:
\[
1515 \neq 1669
\]

Since the left side (1515) does not equal the right side (1669), the point \((99, 1515)\) is **not** a solution to the equation \(y = 17x - 14\).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How would you find the x-intercept of the equation \(y = 17x - 14\)?
2. What would the equation \(y = 17x - 14\) look like if it was written in standard form?
3. How do you graph the equation \(y = 17x - 14\)?
4. What is the slope of the line represented by \(y = 17x - 14\)?
5. How can you determine if two lines are parallel?

**Tip:** Always check your arithmetic carefully when verifying solutions to equations. Even small mistakes can lead to incorrect conclusions!

Verify whether the point (99, 1515) satisfies the equation y = 17x - 14 using substitution and arithmetic calculations. Explore step-by-step how to check if a point is a solution to a linear equation. Suitable for students in Grades 7-9.

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