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Chapter 11: Q. 11.65 (page 1137)

Solve the system by graphing

x+y=4y=x2+2

Short Answer

Expert verified

Solutions of the system are(-1,6),(1,3).

Step by step solution

01

Step 1. Given information

x+y=4鈫�It's a linear equation

y=x2+2鈫�Equation of a parabola

02

Step 2. Graph the line and parabola

03

Step 3. Solution of the system of equations

Points of intersection of both the graphs will be the solution.

Points of intersection鈫�(-2,6),(1,3)

04

Step 4. Validation of the solutions

Substitute the points in the equations to check the solutions,

For (-2,6),

x+y=4-2+6=44=4

True.

For (1,3),

y=x2+23=12+23=3

True.

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