Answer: 4x − 2y = 6 . . . . . (1)
2x + y = 5 . . . . . (2)
(2) x 2 => 4x + 2y = 10 . . . . . (3)
(1) - (3) gives: -4y = -4
y = -4/-4 = 1
From (2), 2x + 1 = 5 => 2x = 5 -1 = 4
x = 4/2 = 2
Solution is (2, 1)
Substituting the solution into the options gives that
−4x − 2y = 10
−4y = 4 −4x
has the same solution.
hope this helped!! :)
Explanation:
Plug (x,y) = (5,-5) into the first inequality and simplify
8x-3y < 4
8(5) - 3(-5) < 4 ... x replaced with 5, y replaced with -5
40 + 15 < 4
55 < 4 ... this is false as 55 is not smaller than 4
We get a false statement after simplifying both sides. Therefore, (5,-5) is not a solution to the system of inequalities. For it to be a solution, it would need to make both inequalities true after plugging in the x and y coordinates.
We don't need to check the other inequality since the first inequality was shown to be false.
