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Question
If 2x + 3y = 12 and 3x – 2y = 5 then
Options
x = 2, y = 3
x = 2, y = –3
x = 3, y = 2
x = 3, y = –2
MCQ
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Solution
x = 3, y = 2
Explanation:
Multiply 2x + 3y = 12 by 2 and 3x – 2y = 5 by 3 to eliminate y:
4x + 6y = 24
9x – 6y = 15
Add the two equations:
13x = 39
⇒ x = 3
Substitute x = 3 into 2x + 3y = 12:
6 + 3y = 12
⇒ 3y = 6
⇒ y = 2
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