Which ordered pair is the solution to the system of equations? {y=x-4 {-4x+3y=-3A.(0, −1)B.(−9, −13)C.(−6, −10)D.(−6, 2)

Accepted Solution

The best way to answer this item is to use the Substitution method. Substitute the value of y from the first equation to the y of the second equation such that the second equation becomes,

     -4x + 3(x - 4) = -3

Simplifying the equation,
    -x = 9

Dividing both sides by -1 gives an answer of,
   x = -9

Then, substitute the value of x in the first equation.
    y = -9 - 4
    y = -13

The answer to this item is letter B.