Which of the ordered pairs is a solution for the equation 4x - 2y = 8 (0,4), (-2,0) (-2,-4)(0,-4)?

1 Answer
Barbara
Jun 2, 2016

(0, 4)

Explanation:

You have to check if the ordered pair is true for the given equation
So given 4x -2y =8
Firstly re-arrange this to 2y = 4x - 8
which can then be divided by 2 to give
y = 2x - 4
Now check each ordered pair
for (0, 4) substitute x = 4 into the Rihgt hand Side (RHS) to get (2xx4) - 4 = 8 - 4 = 4
So for this pair y = 4 and the pair satisfies the equation
Now check (-2, 0) in the same way
When x = -2
RHS = (4xx -2) - 4 = -12 which does not equal LHS = 0
Now check (-2 , -4) the x valie is the same as before, so this does not work either
Lastly check (0, -4) but this does not equal the RHS when x = 0 either
So the only solution is (0, 4)

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