Question

4x² + 9y² = 40 and xy = 2 .Find the value of 2x + 3y .

Answer 1

Step-by-step explanation:

${(2x + 3y)}^{2} = 4 {x}^{2} + 9 {y}^{2} + 12xy \\ {(2x + 3y)}^{2} = 40 + 12 \times 2 \\ {(2x + 3y)}^{2} = 40 + 24 = 64 \\ 2x + 3y = \sqrt{64} = + 8 \: or - 8$

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