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### High School Mathematics10.9 Solving Equations Using Graphical Method

Example:
Solve x + y = 11 and x - y = 5 using graphical method.

Solution:
Ordered pairs for the graph y = -x + 11
x2468
y = -x + 119753
Ordered pairs(2,9)(4,7)(6,5)(8,3)

Ordered pairs for the graph y = x - 5
x2468
y = x - 5-3-113
Ordered pairs(2,-3)(4,-1) (6,1)(8,3)

The straight linesx + y = 11 and x - y = 5 are intersecting at the common point (8,3).
Therefore, the solution is (8,3).

Directions:Write at least 5 examples your own and solve the equation using a graph.

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