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#
3x – 2y = 15

x = 3

The two lines given by the equations above intersect in the xy-plane. What is the value of the y-coordinate of the point of intersection?

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Question:

x = 3

The two lines given by the equations above intersect in the xy-plane. What is the value of the y-coordinate of the point of intersection?

A
-3

explanation

Substituting 3 for x in the first equation gives 3(3) − 2y = 15. This simplifies to 9 − 2y = 15. Subtracting 9 from both sides of 9 − 2y = 15 gives −2y = 6. Finally, dividing both sides of −2y = 6 by −2 gives y = −3.

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