Solve the system of linear equations by the method of elimination,find (x,y). $$\left\{ \begin{array} { c }
- 5 x + 2 y = - 38 \
3 x - y = 23
\end{array} \right.$$
A)No solution
B) $( 8,1 )$
C) $( 8 , - 1 )$
D) $\left( \frac { 3 } { 38 } , \frac { 2 } { 23 } \right)$
E) $\left( - 5 , \frac { 2 } { 23 } \right)$

Question

​Solve the system of linear equations by the method of elimination,find (x,y).​ $$\left\{ \begin{array} { c } 
- 5 x + 2 y = - 38 \
3 x - y = 23
\end{array} \right.$$ ​ ​
A)No solution
B)​ $( 8,1 )$
C)​ $( 8 , - 1 )$
D)​ $\left( \frac { 3 } { 38 } , \frac { 2 } { 23 } \right)$
E)​ $\left( - 5 , \frac { 2 } { 23 } \right)$

Quizplus · Accepted Answer

By adding the given equations, we get:
-5x + 9y = -12
Multiplying the second equation by 2, we get:
-6x + 6y = 6
Multiplying the first equation by 2 and adding it to the second equation, we get:
3y = 18
y = 6
Substituting y = 6 in the first equation, we get:
-5x + 54 = -12
-5x = -66
x = 13.2
So, the solution is (13.2, 6). Therefore, the correct answer is option B.

​Solve the System of Linear Equations by the Method of Elimination,find

Solve the System of Linear Equations by the Method of Elimination,find