Use Cramer s rule to find the solution set for the system. $$\left( \begin{array} { r l l }
2 x + 2 y & = 2 \
x & = 3
\end{array} \right)$$
A) (3, -2)
B) (3, -4)
C) inconsistent
D) dependent

Question

Use Cramer s rule to find the solution set for the system. $$\left( \begin{array} { r l l } 
2 x + 2 y & = 2 \
x & = 3
\end{array} \right)$$
A) (3, -2)
B) (3, -4)
C) inconsistent
D) dependent

Quizplus · Accepted Answer

Cramer's rule can be applied to a system of linear equations by using determinants. Given the system:$$2x + 2y = 2$$$$x = 3$$We can directly see from the second equation that $x = 3$. Substituting $x = 3$ into the first equation gives:$$2(3) + 2y = 2$$$$6 + 2y = 2$$$$2y = -4$$$$y = -2$$Thus, the solution set for the system is $x = 3, y = -2$, which corresponds to choice (A) (3, -2).

Use Cramer S Rule to Find the Solution Set for the System