Question

Solve for x and y. 6x+3y=6xy and 2x+4y=5xy

Answer 1

6x+3y= 6xy -----(1)
2x+4y=5xy--------(2)*3

6x+3y=6xy
6x+12y=15xy
_ _ _
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0- 9y= -9xy
X= -9y/-9y= 1
Put x= 1 in eqn (1)
6y-3y=6
3y= 6
Y=6/3= 2
X=1, y=2

Answer 2

The value of "x" is 1 and the value of "y" is 2.

Given,

Two equations with two variables x and y: $6x+3y=6xy$  (1) and $2x+4y=5xy$ (2).

To Find,

The values of x and y.

Solution,

The method of solving the equations is as follows -

First, we will multiply the 2nd equation by 3.

$3*(2x+4y)=3*5xy$

⇒ $6x+12y=15xy$

Now we will subtract this equation from the 1st equation.

$( 6x+3y)-(6x+12y)=6xy-15xy$

⇒ $-9y=-9xy$

⇒ $x=\frac{-9y}{-9y}$ [Considering the fact that $y\neq 0$ ]

⇒ $x=1$

Now if we put the value of "x" in the 2nd equation, we will get -

$2*1+4y=5*1y$

⇒ $2+4y=5y$

⇒ $5y-4y=2$ ⇒ $y=2.$

Hence, the value of "x" is 1 and the value of "y" is 2.

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