Chapter 11: Q. 205 (page 1147)

In the following exercises, solve the system of equations by using substitution .
$\{\begin{cases} x^{2} + y^{2} = 169 \\ x = 12 \end{cases}$

Short Answer

Expert verified

The solution of the system is $(0, 5), (0, - 5)$ .

Step by step solution

Step 1. Given Information

The given system is

$\{\begin{cases} x^{2} + y^{2} = 169 \\ x = 12 \end{cases}$

Step 2. SUbstitution

Substitute $x = 12$ into $x^{2} + y^{2} = 169$ and solve for y.

$\begin{array}{rcl} {(12)}^{2} + y^{2} & = & 169 \\ y^{2} & = & 169 - 144 \\ y^{2} & = & 25 \\ y & = & \pm 5 \end{array}$

So, the solution is $(0, 5), (0, - 5)$ .

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In the following exercises, solve the system of equations by using substitution .
$\{\begin{cases} x^{2} + y^{2} = 169 \\ x = 12 \end{cases}$

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 .x2+y2=169x=12

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

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using substitution .
$\{\begin{cases} x^{2} + y^{2} = 169 \\ x = 12 \end{cases}$