Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Solving Systems of Linear Equations by Graphing
Continue to next subchapter

Exercise 10 Page 221

The point where the graphs of the equations intersect is the solution of the system of equations.

(3,2)

Practice makes perfect

The solution of the system of linear equations is the point where the graphs of the equations intersect. From the graph, we can tell that this point of intersection is (3,2).

Let's check this solution by substituting the point into both equations.

x+y=5 & (I) y-2x=- 4 & (II)

(I), (II):x= 3, y= 2

3+ 2? =5 2-2( 3)? =- 4
5=5 2-2(3)? =- 4
5=5 2-6? =- 4
5=5 ✓ - 4=- 4 ✓

Since both equations hold true after substituting the point, we know that it is the solution of the system of equations.