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Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d?
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Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find...
Equations Given:
Equation 1: 2a + d = 6
Equation 2: a + 2d/a = a + 6d/a + 2d
Finding a and d:
To find the values of a and d, we will first simplify equation 2 by multiplying each term by a to get rid of the fraction.
a(a + 2d) = a(a + 6d) + 2d
Expanding both sides of the equation:
a^2 + 2ad = a^2 + 6ad + 2d
Now, simplify the equation:
2ad = 6ad + 2d
-4ad = 2d
-2a = 1
Now, substitute the value of a into equation 1:
2(-2) + d = 6
-4 + d = 6
d = 10
Substitute the value of d back into equation 1 to solve for a:
2a + 10 = 6
2a = -4
a = -2
Therefore, the values of a and d are a = -2 and d = 10.
Equation 1: 2a + d = 6
Equation 2: a + 2d/a = a + 6d/a + 2d
Finding a and d:
To find the values of a and d, we will first simplify equation 2 by multiplying each term by a to get rid of the fraction.
a(a + 2d) = a(a + 6d) + 2d
Expanding both sides of the equation:
a^2 + 2ad = a^2 + 6ad + 2d
Now, simplify the equation:
2ad = 6ad + 2d
-4ad = 2d
-2a = 1
Now, substitute the value of a into equation 1:
2(-2) + d = 6
-4 + d = 6
d = 10
Substitute the value of d back into equation 1 to solve for a:
2a + 10 = 6
2a = -4
a = -2
Therefore, the values of a and d are a = -2 and d = 10.
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Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d?
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Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d?.
Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given 2a+d =6 as equation 1 and a+2d/a = a+6d/a+2d as equation 2, find a and d?.
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