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Mathematics

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To solve the equation , we can begin by converting the mixed numbers to improper fractions.

can be written as .

can be written as .

Substituting these values, the equation becomes:

To add fractions with different denominators, we need to find a common denominator. In this case, we can use the least common multiple (LCM) of 7 and 5, which is 35.

Substituting these values, the equation becomes:

Now we can add the fractions:

To isolate the variable, we can multiply both sides by the reciprocal of the coefficient of the variable:

As , we get a contradiction.

Therefore, the given equation has no solution.

Substituting these values, the equation becomes:

To add fractions with different denominators, we need to find a common denominator. In this case, we can use the least common multiple (LCM) of 7 and 5, which is 35.

Substituting these values, the equation becomes:

Now we can add the fractions:

To isolate the variable, we can multiply both sides by the reciprocal of the coefficient of the variable:

As

Therefore, the given equation has no solution.