Math Problem Statement

What is the solution to the system?

Solution

The solution to the system of equations is represented graphically as the point where the two lines intersect. From the given image:

  • The red line and the blue line intersect at the point (0,1)(0, 1).

Solution:

The solution to the system is: (0,1)\boxed{(0, 1)}

This means that the values x=0x = 0 and y=1y = 1 satisfy both equations in the system.


Would you like a deeper explanation of solving systems of equations, or do you have any other questions?

Related Questions:

  1. How can we find the equations of the lines from the graph?
  2. How do you solve systems of equations algebraically?
  3. What are other methods to solve a system of equations besides graphing?
  4. What happens if two lines are parallel in a system of equations?
  5. Can systems of equations have more than one solution?

Tip:

Always check your solution by substituting the values back into the equations to verify they satisfy both!

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Math Problem Analysis

Mathematical Concepts

Algebra
Graphing Linear Equations
Systems of Linear Equations

Formulas

Point of Intersection: Solve for x and y where two equations meet.

Theorems

Linear Equation Intersections

Suitable Grade Level

Grades 8-10