Math Problem Statement

X plus y equals 3. if x equals 2

Solution

We are given the equation:

x+y=3x + y = 3

If x=2x = 2, substitute this value into the equation:

2+y=32 + y = 3

Solving for yy:

y=32y = 3 - 2

y=1y = 1

Thus, when x=2x = 2, y=1y = 1.

Would you like a detailed breakdown or have any questions?

Here are five related questions to explore:

  1. What happens to yy if x=0x = 0 in the same equation?
  2. Can you graph the equation x+y=3x + y = 3?
  3. How do you express yy in terms of xx (solve for yy)?
  4. What is the slope and y-intercept of the equation x+y=3x + y = 3?
  5. How would you solve for xx if yy were given instead?

Tip:

A linear equation like x+y=3x + y = 3 represents a straight line in a coordinate plane. The intercepts can be found by setting one variable to zero and solving for the other. 🚀

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Standard form of a linear equation: Ax + By = C
Solving for a variable: y = C - x

Theorems

Basic principles of solving linear equations

Suitable Grade Level

Grades 6-8