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Question
The lines y − 2 = 0 and 2x + 3y = 12 cut each other at point ______.
Options
(−3, 2)
(3, −2)
(−3, −2)
(3, 2)
MCQ
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Solution
The lines y − 2 = 0 and 2x + 3y = 12 cut each other at point (3, 2).
Explanation:
From the equation y − 2 = 0, we get y = 2. Substituting y = 2 into the second equation 2x + 3y = 12:
2x + 3(2) = 12
2x + 6 = 12
2x = 6
x = 3
Thus, the lines intersect at the point (3, 2).
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