Math Problem Statement
20x+4y=8
Solution
The equation given is:
Let's simplify this equation to its standard form:
- Simplify by dividing through by 4:
This simplifies to:
Interpretation:
This is a linear equation in two variables, and . It represents a straight line in the coordinate plane.
Solving for :
To express in terms of :
This form can be used to find specific - and -values or graph the equation. If you'd like, I can further explain how to plot it or find specific solutions for given values of .
Would you like to see the graph, or have any other specific questions?
Relative Questions:
- What is the slope and y-intercept of this equation?
- How would you find the x-intercept of this equation?
- How do you determine if a point lies on this line?
- How can you rewrite this equation in slope-intercept form?
- What would be the equation if you swapped the coefficients of and ?
Tip: Linear equations in the form can always be rewritten as , where is the slope and is the y-intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
Standard form of a linear equation: Ax + By = C
Slope-intercept form: y = mx + b
Theorems
Linear equation properties
Slope-intercept theorem
Suitable Grade Level
Grades 8-10