Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c }
5 x - 3 y = 2 \
y = \frac { 5 } { 3 } x - \frac { 2 } { 3 }
\end{array} \right)$$
A) $( 4,4 )$
B) $( 3 , - 4 )$
C) $\{ ( x , y ) \mid 5 x - 3 y = 2 \}$
D) $( - 5,5 )$
E) inconsistent

Question

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
5 x - 3 y = 2 \
y = \frac { 5 } { 3 } x - \frac { 2 } { 3 }
\end{array} \right)$$
A) $( 4,4 )$
B) $( 3 , - 4 )$
C) $\{ ( x , y ) \mid 5 x - 3 y = 2 \}$
D) $( - 5,5 )$
E) inconsistent

Quizplus · Accepted Answer

The second equation is a rearrangement of the first, indicating that they are the same line. Therefore, there are infinitely many solutions along this line, represented by the equation $5x - 3y = 2$.

Solve Each System by Using Either the Substitution or the Elimination-By-Addition