Math Problem Statement

20x+4y=8

Solution

The equation given is:

20x+4y=820x + 4y = 8

Let's simplify this equation to its standard form:

  1. Simplify by dividing through by 4:

20x+4y4=84\frac{20x + 4y}{4} = \frac{8}{4}

This simplifies to:

5x+y=25x + y = 2

Interpretation:

This is a linear equation in two variables, xx and yy. It represents a straight line in the coordinate plane.

Solving for yy:

To express yy in terms of xx:

y=25xy = 2 - 5x

This form can be used to find specific xx- and yy-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 xx.

Would you like to see the graph, or have any other specific questions?

Relative Questions:

  1. What is the slope and y-intercept of this equation?
  2. How would you find the x-intercept of this equation?
  3. How do you determine if a point lies on this line?
  4. How can you rewrite this equation in slope-intercept form?
  5. What would be the equation if you swapped the coefficients of xx and yy?

Tip: Linear equations in the form Ax+By=CAx + By = C can always be rewritten as y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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