Question

What is the x-coordinate of the point where the lines x=4y-8 and 1/2x+y=11 interscent? x=?

Answer 1

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

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-x          = -52   (Notice how the "y" terms cancel each other out.)

Dividing both sides by -1 produces the desired answer:  x = 52