Math Problem Statement

Solve the equation 3x + 2 = y when y = -1. Find the value of x.

Solution

The problem involves solving the equation 3x+2=y3x + 2 = y when y=1y = -1. Let's solve for xx.

Steps:

  1. Substitute y=1y = -1 into the equation 3x+2=y3x + 2 = y: 3x+2=13x + 2 = -1

  2. Subtract 2 from both sides: 3x=123x = -1 - 2 3x=33x = -3

  3. Divide both sides by 3: x=33x = \frac{-3}{3} x=1x = -1

Final Answer:

x=1x = -1

Would you like a detailed explanation of this process or assistance with another part of the graph? Here are some related questions to explore:

  1. How can you confirm that a point lies on the line y=3x+2y = 3x + 2?
  2. How do you graph a linear equation like y=3x+2y = 3x + 2?
  3. What is the slope of the line represented by y=3x+2y = 3x + 2?
  4. How would you find the yy-intercept of the equation y=3x+2y = 3x + 2?
  5. What happens if y=0y = 0 instead of y=1y = -1? How does that change xx?

Tip: Always check your solution by substituting back into the original equation to verify correctness!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Substitution Method
Basic Algebra

Formulas

y = 3x + 2

Theorems

Linear equation solving

Suitable Grade Level

Grades 6-8