Explanation of Xy/x y =6/5 xy/x y=6 by Cross Multiplication and Elimination
Cross Multiplication
Cross multiplication is a technique that is used to solve equations that involve fractions. It involves multiplying the numerator of one fraction by the denominator of the other and vice versa. When the fractions are equal, cross multiplication can be used to solve for the variable.
Elimination
Elimination is another technique that is used to solve equations. It involves manipulating the equations by adding, subtracting, multiplying or dividing both sides by the same value, to eliminate one of the variables.
Explanation of Xy/x y =6/5 xy/x y=6
The equation Xy/x y =6/5 can be simplified by cross multiplication. Cross multiplying both sides gives:
Xy * 5 = 6 * x y
5Xy = 6xy
Dividing both sides by xy gives:
5/6 = x y / xy
5/6 = 1/y (since xy/xy = 1)
Multiplying both sides by y gives:
5/6 * y = 1
y = 6/5
The second equation xy/x y=6 can be simplified using elimination. Multiplying both sides by xy gives:
xy = 6 x y
Dividing both sides by xy gives:
1 = 6/x y
Multiplying both sides by xy gives:
xy = 6
Conclusion
In conclusion, the equation Xy/x y =6/5 xy/x y=6 can be solved using cross multiplication and elimination. The value of y is 6/5 and the value of xy is 6.