Math Problem Statement

4x−3y= 9

Solution

The given equation is:

4x3y=94x - 3y = 9

This is a linear equation in two variables, xx and yy. We can solve for either variable in terms of the other. Let’s solve for yy in terms of xx:

  1. Start by isolating yy: 3y=94x-3y = 9 - 4x

  2. Divide both sides by 3-3: y=4x93y = \frac{4x - 9}{3}

So, the equation in terms of yy is: y=4x93y = \frac{4x - 9}{3}

Would you like more details or have any questions?

Related Questions:

  1. How would you graph the equation 4x3y=94x - 3y = 9?
  2. What happens if you set x=0x = 0 and solve for yy?
  3. How do you solve a system of two linear equations involving xx and yy?
  4. Can you find the slope and intercept of the equation 4x3y=94x - 3y = 9?
  5. How does the slope of a line relate to its equation?

Tip: To graph a linear equation, convert it to the slope-intercept form y=mx+by = mx + b.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

Linear equation in two variables: ax + by = c
Slope-intercept form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10