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Chapter 11: Q. 222 (page 1148)

In the following exercise, solve the system of equations by using elimination:

4x2+9y2=362x2-9y2=16

Short Answer

Expert verified

3,0and-3,0

Step by step solution

01

Step 1. Given information.

In this case, the following system of equations is given:

4x2+9y2=362x2-9y2=16

02

Step 2. Solving the system of equations by elimination.

By adding the two equations:

6x2=54

Simplifying

x2=546=9x=卤9x=3,-3

Substitute the values of xinto any one of the two equations:

When x=3:

2脳32-9y2=189y2=18-18y2=0y=0

When x=-3:

2-32-9y2=189y2=18-18y=0

Write the solution as order pairs:

The ordered pairs are3,0,-3,0

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