Math Problem Statement

Use subtitution method to solve each linear system

3x+2y-1=0 y=-x+3 dont tell me the steps just do them yourself

Solution

The solution to the system of equations is x=5x = -5 and y=8y = 8.

Would you like further details or have any questions?

Here are 5 related questions you might explore:

  1. How does substitution compare to other methods like elimination?
  2. What happens if both equations are expressed in terms of yy?
  3. Can you solve a system of equations with three variables using substitution?
  4. What is the graphical interpretation of solving this system?
  5. How would you solve the system if both equations were non-linear?

Tip: Always double-check your substituted values by plugging them back into the original equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Substitution Method

Formulas

y = mx + c (equation of a line)
Substitution: Solve one equation for one variable and substitute in the other

Theorems

Substitution Method for Solving Linear Systems

Suitable Grade Level

Grades 8-10