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### Middle/High School Algebra, Geometry, and Statistics (AGS)1.11 Solve the Equations Using Graphs - I

Solve x + y = 6 and x - y = 2 using graphical method.

Ordered pairs for the graph y = -x + 6
x-10123
y = -x + 676543
Ordered pairs(-1,7)(0,6)(1,5)(2,4)(3,3)

Ordered pairs for the graph y = x - 2
x-10135
y = x - 2-3-2-113
Ordered pairs(-1,-3)(0,-2)(1,-1) (3,1)(5,3)

The straight lines x + y = 6 and x - y = 2 are intersecting at the common point (4,2). Therefore the solution is (4,2).
Verification:
We want to verify the solution (4,2) is satisfy both equations.
Substituting x = 4 and y = 2 in the given equations, we get
x + y = 6 and x - y = 2
4 + 2 = 6 and 4 - 2 = 2
6 = 6 and 2 = 2
Therefore, the solution (4,2) is correct.
Directions: Solve the following system of linear equations using graphical method.
x + y = 4 and x - y = 2
2x + y = 5 and 3x - 2y = 4