Math Problem Statement

4x+3y=28

Solution

The given equation is:

4x+3y=284x + 3y = 28

This is a linear equation in two variables, xx and yy. There are various ways to handle or interpret this equation, such as finding solutions for specific values of one variable, graphing the line, or solving for one variable in terms of the other.

Solving for yy in terms of xx:

We can isolate yy by following these steps:

4x+3y=284x + 3y = 28

Subtract 4x4x from both sides:

3y=284x3y = 28 - 4x

Now divide by 3:

y=284x3y = \frac{28 - 4x}{3}

This expresses yy in terms of xx.

If you'd like, we can explore solutions for specific values of xx or other related methods.

Would you like more details on this, or do you have any further questions?

Here are 5 related questions:

  1. What are the intercepts of the line represented by this equation?
  2. How would you graph this linear equation?
  3. Can you find integer solutions for both xx and yy?
  4. How does this equation change if it becomes an inequality?
  5. What is the slope of the line from this equation?

Tip: To graph a linear equation, you can find two points (often the intercepts) and then draw the line through them.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = (28 - 4x) / 3

Theorems

Equation of a Line

Suitable Grade Level

Grades 6-8