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If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3?
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If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3?
Dea'R ur question typed mistaken 2x + 3y= 13 hoga let's try it soOnxy= 6y=6/x....... (i) 2x+3y = 13 2x + 3×6/x = 13 2x^2 - 13 + 18 = 0 2^2 -4x -9x+ 18 = 0 2x(x-2) -9x(x-2) = 0 (2x-9) (x-2) x = 9/2 , 2 noW putting in..... (i) we haVe, y = 3, 4/3 8x^3 + 27y^3 first.........x= 2 & y= 38 2×3 + 27 3×38×8 + 27×2764 + 729793u'lll get sme, i.e ansWer is 793agar meri solution acchi lagi to frnd bana lena waenaa classmate to h hi:::::
Community Answer
If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3?
Solution:
Step 1: Find the value of x and y
Given that 2x + 3y = 12 and xy = 6
From the second equation, we can write:
x = 6/y
Substituting this value of x in the first equation, we get:
2(6/y) + 3y = 12
12/y + 3y = 12
12 + 3y^2 = 12y
3y^2 - 12y + 12 = 0
Dividing both sides by 3, we get:
y^2 - 4y + 4 = 0
(y - 2)^2 = 0
y = 2
Substituting this value of y in the equation xy = 6, we get:
x(2) = 6
x = 3
Therefore, x = 3 and y = 2
Step 2: Find the value of 8x*3 - 27y*3
Substituting the values of x and y in the expression 8x*3 - 27y*3, we get:
8(3)^3 - 27(2)^3
8(27) - 27(8)
216 - 216 = 0
Therefore, the value of 8x*3 - 27y*3 is 0.
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If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3?
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If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3?.
If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2x + 3y = 12 and xy = 6, find the value of 8x *3 +27 y *3?.
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