Chapter 11: Q. 203 (page 1147)

In the following exercises, solve the system of equations by using substitution .
$\{\begin{cases} 9 x^{2} + 4 y^{2} = 36 \\ x = 2 \end{cases}$

Short Answer

Expert verified

The solution of the system is $(2, 0)$ .

Step by step solution

Step 1. Given Information

The given system is

$\{\begin{cases} 9 x^{2} + 4 y^{2} = 36 \\ x = 2 \end{cases}$

Step 2. Substitution

Substitute $x = 2$ into $9 x^{2} + 4 y^{2} = 36$ and solve for y.

$\begin{array}{rcl} 9 {(2)}^{2} + 4 y^{2} & = & 36 \\ 36 + 4 y^{2} & = & 36 \\ y^{2} & = & 0 \\ y & = & 0 \end{array}$

So, the solution of the system is $(2, 0)$ .

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In the following exercises, solve the system of equations by using substitution .
$\{\begin{cases} 9 x^{2} + 4 y^{2} = 36 \\ x = 2 \end{cases}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Substitution

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In the following exercises, solve the system of equations by using substitution .9x2+4y2=36x=2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Substitution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using substitution .
$\{\begin{cases} 9 x^{2} + 4 y^{2} = 36 \\ x = 2 \end{cases}$