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X/5+x/3=10 solve the following equation by transposition method.?
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X/5+x/3=10 solve the following equation by transposition method.?
Transposition Method for Solving Linear Equations with One Variable

Given Equation:
X/5 + x/3 = 10

Step 1: Simplify the Equation
To simplify the equation, we need to get rid of the denominators by finding a common multiple. In this case, the common multiple is 15.
So, we multiply each term by 15 to clear the fractions:
3x + 5x = 150
8x = 150

Step 2: Solve for x
Now, we need to isolate x by performing the inverse operation. In this case, we need to divide by 8 to find the value of x:
x = 150/8
x = 18.75

Step 3: Verify the Solution
To verify the solution, substitute the value of x back into the original equation:
18.75/5 + 18.75/3 = 10
3.75 + 6.25 = 10
10 = 10
Since the equation balances out, the solution x = 18.75 is correct.
Therefore, the solution to the equation X/5 + x/3 = 10 is x = 18.75.
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X/5+x/3=10 solve the following equation by transposition method.?
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