Find the solution to the system by addition (elimination) method.
-$$\frac { 1 } { 3 } x + \frac { 1 } { 3 } y = - 4$$
$x - y = - 2$
A) $( - 7 , - 5 )$
B) $( 7 , - 4 )$
C) $( - 8 , - 4 )$
D) No solution

Question

Quizplus · Accepted Answer

To solve the system by elimination, we first make the coefficients of either x or y the same in both equations. The second equation is already in a good form to eliminate y directly. Multiplying the first equation by 3 gives $x + y = -12$. Adding this to the second equation $x - y = -2$ eliminates y, resulting in $2x = -14$, so $x = -7$. Substituting $x = -7$ into $x - y = -2$ gives $-7 - y = -2$, so $y = -5$. Therefore, the solution is $(-7, -5)$.

Find the Solution to the System by Addition (Elimination) Method 13x+13y=−4\frac { 1 } { 3 } x + \frac { 1 } { 3 } y = - 431​x+31​y=−4

Find the Solution to the System by Addition (Elimination) Method $\frac { 1 } { 3 } x + \frac { 1 } { 3 } y = - 4$