Math Problem Statement
4x+3y=28
Solution
The given equation is:
This is a linear equation in two variables, and . 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 in terms of :
We can isolate by following these steps:
Subtract from both sides:
Now divide by 3:
This expresses in terms of .
If you'd like, we can explore solutions for specific values of or other related methods.
Would you like more details on this, or do you have any further questions?
Here are 5 related questions:
- What are the intercepts of the line represented by this equation?
- How would you graph this linear equation?
- Can you find integer solutions for both and ?
- How does this equation change if it becomes an inequality?
- 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