https://file.aiquickdraw.com/mathbot/file/172668253614181nlu6v7.jpg

The system of equations provided in the image is:

\[
-1x + (-6) = 0 \quad \text{(or rewritten as } -x - 6 = 0\text{)}
\]
\[
2y - x = 5
\]

Let's solve this system step by step.

### Step 1: Solve the first equation for \(x\)
The first equation is:
\[
-x - 6 = 0
\]
Add 6 to both sides:
\[
-x = 6
\]
Multiply by \(-1\) to get:
\[
x = -6
\]

### Step 2: Substitute \(x = -6\) into the second equation
The second equation is:
\[
2y - x = 5
\]
Substitute \(x = -6\):
\[
2y - (-6) = 5
\]
This simplifies to:
\[
2y + 6 = 5
\]
Now, subtract 6 from both sides:
\[
2y = -1
\]
Finally, divide by 2:
\[
y = -\frac{1}{2} = -0.5
\]

So, the value of \(y\) is \(y = -0.50\) (rounded to the nearest hundredth).

Would you like further details or have any questions?

Here are five related questions to further explore:
1. How can we solve a system of equations graphically?
2. What are other methods to solve systems of equations (e.g., substitution, elimination)?
3. Can a system of equations have no solution or infinite solutions?
4. How does the slope of two lines determine whether a system has a unique solution?
5. How do systems of linear inequalities differ from systems of linear equations?

**Tip**: Always check the solution by plugging the values back into the original equations to verify!

-1x + -6 = 0, 2y + -1x = 5. What is the value of y? Round to the nearest hundredth place.

This problem involves solving a system of linear equations: -1x + -6 = 0 and 2y + -1x = 5. Learn how to solve for y using substitution, with detailed steps and rounding to the nearest hundredth. 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