Question
If 2x + 3y = 19 and 3x - 2y = 9, then the value of
x2 + y2 is:Solution
ATQ, 2x + 3y = 19 3x - 2y = 9 Multiply first by 2: 4x + 6y = 38 Multiply second by 3: 9x - 6y = 27 Add: 13x = 65 x = 5 Now, 2(5) + 3y = 19 10 + 3y = 19 3y = 9 y = 3 So, x2 + y2 = 25 + 9 = 34
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