Math Problem Statement

3x + 2y=-4 solve for y

Solution

To solve the equation 3x+2y=43x + 2y = -4 for yy, follow these steps:

  1. Isolate the term with yy:
    Subtract 3x3x from both sides: 2y=3x42y = -3x - 4

  2. Solve for yy:
    Divide both sides by 2: y=32x2y = -\frac{3}{2}x - 2

So, the solution for yy in terms of xx is: y=32x2y = -\frac{3}{2}x - 2

Would you like more details or have any other questions?

Here are some related questions:

  1. How do you solve linear equations for a specific variable?
  2. Can you graph the equation y=32x2y = -\frac{3}{2}x - 2?
  3. What does the slope represent in the equation y=mx+by = mx + b?
  4. How can you convert an equation from standard form to slope-intercept form?
  5. What is the significance of the y-intercept in a linear equation?
  6. Can you solve a system of linear equations using substitution?
  7. How do you check if a point lies on the line represented by an equation?
  8. What is the general form of a linear equation in two variables?

Tip: When solving for a variable, always aim to isolate that variable on one side of the equation by using basic algebraic operations.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9