Use Cramer's rule to find the solution of the system, if possible. $$\left\{ \begin{aligned}
5 x - y & = 12 \
x + y & = 0
\end{aligned} \right.$$
A)x = 2, y = -2
B)x = 5, y = -12
C)x = 5, y = -5
D)The system is inconsistent.
E)The equations are dependent.

Question

Use Cramer's rule to find the solution of the system, if possible.   $$\left\{ \begin{aligned}
5 x - y & = 12 \
x + y & = 0
\end{aligned} \right.$$  
A)x = 2, y = -2
B)x = 5, y = -12
C)x = 5, y = -5
D)The system is inconsistent.
E)The equations are dependent.

Quizplus · Accepted Answer

Cramer's rule involves calculating determinants to solve a system of linear equations. For the given system, the determinant of the coefficient matrix and the determinants for x and y can be calculated. The solution is x = 2, y = -2, which matches option A.

Use Cramer's Rule to Find the Solution of the System {5x−y=12x+y=0\left\{ \begin{aligned}5 x - y & = 12 \\x + y & = 0\end{aligned} \right.{5x−yx+y​=12=0​

Use Cramer's Rule to Find the Solution of the System $\left\{ \begin{aligned}5 x - y & = 12 \\x + y & = 0\end{aligned} \right.$