Question

Solve the equation. Check the result. (Review 3.4 ) $$y-9=2$$

Short answer

The solution for the equation \(y - 9 = 2\) is \(y = 11\).

Step-by-step solution

Analyze the Equation

Analyzing the equation shows that we have \(y - 9 = 2\). Here, we are trying to solve for \(y\). Thus, we need to isolate \(y\) on one side of the equals sign. We do this by adding '9' to both sides.

Add 9 to Both Sides

When you add 9 to both sides of the equation, the left side becomes \(y\). This is because \(-9 + 9 = 0\), and thus it cancels out on the left. On the right side, you simply add \(2 + 9\), which equals 11. The equation then becomes \(y = 11\).

Check the Result

To ensure our solution is correct, we plug our value for \(y\) back into the original equation to see if it holds true. Substitute \(y\) with 11 in the original equation, we get: \(11 - 9 = 2\), which simplifies to \(2 = 2\). This equation is true, which confirms that our solution is correct.