Answer:
x = 52
Step-by-step explanation:
To answer this question, we need to set up a system of linear equations:
x = 4y - 8
(1/2)x + y = 11 (Note: Please use ( ) around fractions such as this 1/2, to
eliminate possible ambiguity)
We want to find the x-coordinate, so should start by elilminating y from this system of equations.
Do this by multiplying the 2nd equation by -4. This results in
-2x - 4y = -44
Combine this result with x = 4y - 8:
x = 4y - 8
-2x - 4y = -44
----------------------
-x = -52 (Notice how the "y" terms cancel each other out.)
Dividing both sides by -1 produces the desired answer: x = 52
