Write the word or phrase that best completes each statement or answers the question.
-$\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$ $x - y = - 4$
A) $( - 3,3 )$
B) $( 2,3 )$
C) $( - 2,2 )$
D) Inconsistent, $\varnothing$

Question

Quizplus · Accepted Answer

First, we can rearrange the first equation to get:
$$\frac{1}{4}x=-\frac{1}{4}y$$
$$x=-y$$
Substituting this into the second equation, we get:
$$-y-y=-4$$
$$y=2$$
Substituting this back into either equation, we get:
$$x=-y=-2$$
Therefore, the solution is $(x,y)=(-2,2)$ which corresponds to choice C.

Write the Word or Phrase That Best Completes Each Statement 14x+14y=0\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 041​x+41​y=0

Write the Word or Phrase That Best Completes Each Statement $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$