-3x + 4y = -2
+6x - y = 11
What is the value of the x-coordinate at the point of intersection of these lines?
Let's eliminate y. To do this, multiply 6x - y = 11 by 4, obtaining 24x - 4y = 44.
Combine this result with -3x + 4y = -2:
-3x + 4y = -2
24x - 4y = 44
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21x = 42, and so x = 2.
The x-coordinate of the solution of this system is 2.
