First, we will use the first equation to find the value of y:
y = -2x - 2
y = -2(-2) - 2
y = 4 - 2
y = 2
Now, we will substitute this value of y into the second equation and solve for x:
2x - 2y = 5
2x - 2(2) = 5
2x - 4 = 5
2x = 9
x = 9/2
x = 4.5
Therefore, the correct system of equations with the solution (-2, 1) is:
y = -3/2x - 2
2x - y = -5
Which of the following systems of equations has the solution (-2, 1)?
This question requires you to show your work.
Responses
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
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
1 answer