Question

If 4x²+9y²=27 and xy=5,then find the value of 2x+3y ​

Answer 1

Answer:

87

Step-by-step explanation:

${(2x + 3y)}^{2} = 4 {x}^{2} + 9 {y}^{2} + 12xy \\ {(2x + 3y)}^{2} = 27 + 12 \times 5 \\ {(2x + 3y)}^{2} = 27 + 60 \\ {(2x + 3y)}^{2} = 87$