The point (-4, 6) is a solution to which system?
{−5x+y=−2−3x+6y=−12
{−5x+y=−33x−8y=24
{x+y=2−x+2y=16
{−4x+y=6−5x−y=21
Substitute x=-4 and y=6 into each equation to see which system is satisfied:
1) −5(-4)+6=-2 and -3(-4)+6(6)=-12 --> True, so (-4,6) is a solution to the first system.
2) −5(-4)+6=-33 and -3(-4)-8(6)=24 --> False, so (-4,6) is not a solution to the second system.
3) (-4)+6=2 and -(-4)+2(6)=16 --> True, so (-4,6) is a solution to the third system.
4) -4(4)+6=-22 and -5(-4)-6=21 --> False, so (-4,6) is not a solution to the fourth system.
Therefore, the solution is:
{−5x+y=−2
-3x+6y=−12