Math Problem Statement

Solve by graphing. x plus y equals minus6 5 x minus 3 y equals 10 Question content area bottom left Part 1 Use the graphing tool to graph the system.

. . . Question content area right Part 1 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10 x y

Solution

The intersection point of the two lines is (−1,−5)(-1, -5). This means the solution to the system of equations is x=−1x = -1 and y=−5y = -5.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you determine the slope and intercept of a line from its equation?
  2. Can you solve the system of equations algebraically instead of graphically?
  3. How would the graph change if the coefficients of xx and yy were multiplied by a constant?
  4. What does it mean if two lines on a graph do not intersect?
  5. How can you check if a given point is a solution to both equations in the system?

Tip: When graphing a system of equations, always start by identifying key points like intercepts and slopes to make the graphing easier.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing Systems of Equations

Formulas

Slope-intercept form y = mx + b
Linear equation system solving

Theorems

Intersection of two lines determines the solution of a system of linear equations

Suitable Grade Level

Grades 9-12

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