The equation you provided is:

\[
6x + 2y = -26
\]

You can solve this equation for \(y\) in terms of \(x\) (or vice versa), or you could solve for both \(x\) and \(y\) if another equation is given. Let's rearrange the equation to express \(y\) in terms of \(x\):

### Step 1: Solve for \(y\)

First, subtract \(6x\) from both sides:

\[
2y = -6x - 26
\]

### Step 2: Isolate \(y\)

Now, divide both sides by 2:

\[
y = -3x - 13
\]

So, the equation solved for \(y\) is:

\[
y = -3x - 13
\]

Would you like to solve it further, maybe by graphing or exploring a system of equations?

Here are 5 related questions:
1. What is the slope and y-intercept of the equation \(y = -3x - 13\)?
2. Can you find the x-intercept of this line?
3. How would the graph of this equation look?
4. How does the equation change if you multiply both sides by a constant?
5. What are the solutions for \(x\) and \(y\) if another equation is given?

**Tip:** When graphing linear equations, the slope tells you how steep the line is, and the y-intercept tells you where it crosses the y-axis.

Learn how to solve the linear equation 6x + 2y = -26 by expressing y in terms of x. This problem explores key algebraic concepts, such as slope-intercept form and isolating variables. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation