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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

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

01

Step 1. Given Information

The given system is

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

02

Step 2. SUbstitution

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

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

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

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