Solve the system of equations using substitution.
-$$\left\{ \begin{array} { l }
x ^ { 2 } + y ^ { 2 } = 169 \
x + y = 17
\end{array} \right.$$
A) $x = 12 , y = - 5 ; x = 5 , y = - 12$
B) $x = - 12 , y = 5 ; x = - 5 , y = 12$
C) $x = 12 , y = 5 ; x = 5 , y = 12$
D) $x = - 12 , y = - 5 ; x = - 5 , y = - 12$

Question

Solve the system of equations using substitution.
-$$\left\{ \begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 169 \
x + y = 17
\end{array} \right.$$
A) $x = 12 , y = - 5 ; x = 5 , y = - 12$
B) $x = - 12 , y = 5 ; x = - 5 , y = 12$
C) $x = 12 , y = 5 ; x = 5 , y = 12$
D) $x = - 12 , y = - 5 ; x = - 5 , y = - 12$

Quizplus · Accepted Answer

From the second equation, $y = 17 - x$. Substituting this into the first equation gives $x^2 + (17 - x)^2 = 169$. Solving this equation yields $x = 12$ and $x = 5$, which correspond to $y = 5$ and $y = 12$, respectively.

Solve the System of Equations Using Substitution {x2+y2=169x+y=17\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array} \right.{x2+y2=169x+y=17​

Solve the System of Equations Using Substitution $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array} \right.$