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

User Leo Loki
by
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1 Answer

2 votes

Answer:

x = 52

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

User Jcfollower
by
8.3k points

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