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When you multiply both sides of the equation with the multiplicative inverse of the coefficient then the coefficient becomes one.

1/2*x =5

2*1/2*x=2*5

1x=10

x=10

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Q: How is the multiplicative inverse used to solve an equation that has a rational coefficient?
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Related questions

Is the product of a number and its multiplicative inverse always a rational number?

If the multiplicative inverse exists then, by definition, the product is 1 which is rational.


Is the multiplicative inverse of a rational number an integer?

No, it is not. 3/5 is rational and its multiplicative inverse is 5/3 which is not an integer.


Does the set of rational numbers have a multiplicative inverse?

Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.


What is multiplicative inverse in rational numbers?

The inverse function of multiplication is division.


Is the multiplicative inverse of any nonzero rational number is a rational number?

of course


Is the multiplicative inverse of any non zero rational number?

yes


Is the product of a rational number and its multiplicative inverse always one?

Yes.


Is the set of rational numbers contains the multiplicative inverse of each of its members?

help me


How do you determine the multiplicative inverse of a number?

The multiplicative inverse of a number is its reciprocal, meaning the multiplicative inverse of the rational number a/b is b/a. In the specialized case for integers, the multiplicative inverse of n is 1/n. This is due to the fact that a/b * b/a = 1 and n * 1/n = 1, which is the definition of a multiplicative inverse. More succinctly, to find the multiplicative inverse you "flip" the fraction or integer around to its reciprocal. This is the number that when multiplied with the original number results in a product of 1.


When are the absolute value and the opposite of a rational number equal?

The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.


What are the elements in rational numbers having multiplicative inverse?

All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.


What is the multiplicative of -1?

Assuming the question is about the multiplicative inverse, the answer is, -1. It is its own multiplicative inverse.