Answer: B
Explanation:
Given the two systems of inequality to be:
x – 2y < 4
Rearrange the equation,
X - 2y < 4
-2y < 4 - x
The sign will change as we divide both sides by -2
Y > -2 + x/2
Y > x/2 - 2 ...... (1)
and
y > – 2x – 5 ..... (2)
Multiply (1) by 2 and (2) by 1/2
2y > x - 4
y/2 > -x - 5/2
Since the inequality sign of the two are the same, you can eliminate x by addition.
2 1/2 y > - 4 5/2
Change mixed fraction to improper fraction.
5y/2 > -13/2
Cross multiply
10y > -26
y > -26/10
y > - 2.6
Base on the value got for y, the correct answer is B ( -8, 2 ) because only option B and D has negative value for x and y is not equal to zero.
You confirm by plugging in the value in the two inequality equations.