Question

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

Answer 1

`(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)`