√2x+√3y = 5
√3x-√8y =-√6
CBSE 2025
Solution :
√2x+√3y = 5 — (1)
√3x-√8y =-√6 — (2)
[√2x+√3y = 5]×√3
[√3x-√8y =-√6]×√2
√6x+3y=5√3
√6x+3y=5√3
√6x-4y=-√12
- + +
---------------------------
0x + 7y =5√3+√12
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7y=5√3+2√3
7y=7√3
y=7√3/7
y=√3
- + +
---------------------------
0x + 7y =5√3+√12
---------------------------
7y=5√3+2√3
7y=7√3
y=7√3/7
y=√3
Putting in equation (1)
√2x+√3(√3) = 5
√2x+3=5
√2x=5-3
√2x=2
x=2/√2
x=√2
√2x+3=5
√2x=5-3
√2x=2
x=2/√2
x=√2
Hence, x=√2 and y=√3