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Solve the following equations using the transposition method and check the solution the question is 15 (x - 4 )-2( x- 9) + 5 (x + 6) =0?
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Solve the following equations using the transposition method and check...
Transposition Method to Solve the Equation:
In order to solve the equation 15(x - 4) - 2(x - 9) + 5(x + 6) = 0 using the transposition method, we need to follow these steps:

Step 1: Expand the Equation
15x - 60 - 2x + 18 + 5x + 30 = 0
Combine like terms:
18x - 12 = 0

Step 2: Isolate the Variable
Add 12 to both sides:
18x = 12
Divide by 18:
x = 12/18
x = 2/3

Check the Solution:
Plug x = 2/3 back into the original equation:
15(2/3 - 4) - 2(2/3 - 9) + 5(2/3 + 6) = 0
Simplify both sides:
15(-10/3) - 2(-25/3) + 5(20/3) = 0
-50 - (-50) + 100 = 0
0 = 0
Since the equation balances out, the solution x = 2/3 is correct.
Therefore, the solution to the equation 15(x - 4) - 2(x - 9) + 5(x + 6) = 0 is x = 2/3.
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Solve the following equations using the transposition method and check the solution the question is 15 (x - 4 )-2( x- 9) + 5 (x + 6) =0?
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