Question

xy/x+y = 4/3 ; yz/y+z = 12/5 ; zx/z+x = 3/2 find the values of x,y and z​

Answer 1

Answer:

The values of x, y and z are 3/4, 4/6 and 12/10

Step-by-step explanation:

Step 1: Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" sign in it.

Here, given equations are

x y/x + y = 4/3 ;   y z/y + z = 12/5 ;    z x/z + x = 3/2

Step 2:We can rewrite these equations by canceling the same terms we get.

y + y = 4/3 ;   z + z = 12/5 ;    x + x = 3/2

Again, adding the same terms we get.

2y = 4/3   ;    2z = 12/5   ;   2x = 3/2

Step 3:Again, dividing both sides by 2 we get.

y = 4/6    ;      z = 12/10   ;    x = 3/4

Therefore, the values of x, y and z are 3/4, 4/6 and 12/10.

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