Which of the following systems of equations has the solution (-2, 1)?
This question requires you to show your work.
Responses
x−4y=8
and 3x+10=−2y
x minus 4 y is equal to 8 and 3 x plus 10 is equal to negative 2 y - no response given
y=−2x−2
and 2x−2y=5
y is equal to negative 2 x minus 2 and 2 x minus 2 y is equal to 5 - no response given
y=−32x−2
and 2x−y=−5
y is equal to negative 3 over 2 x minus 2 and 2 x minus y is equal to negative 5 - not selected, this is the correct answer
2x−y=−5
and x+2y=10
2 x minus y is equal to negative 5 and x plus 2 y is equal to 10 - incorrect
Score
: 1/4
The correct answer is the third option:
y = -3/2x - 2 and 2x - y = -5
Substitute x = -2 and y = 1 into the equations:
1 = -3/2(-2) - 2,
1 = 3 + 2,
1 = 1 (true)
-2 = -5,
-2 = -5 (true)
Therefore, the system of equations y = -3/2x - 2 and 2x - y = -5 has the solution (-2, 1).