Why are exes all over the place?

$\frac{5x + 4y} {x+3y}=\frac{3}{2}$

(5x+4y)2=(x+3y)3

10x + 8y = 3x + 9y

10x - 3x = 9y - 8y

7x=1y

$\frac{3y}{x}=\frac{3(7x)}{x}$

$\frac{3y}{x}=21$

2(5x+4y) = 3(x+3y)

10x+8y = 3x+9y 7x = y

y/x = 7

so, 3 y/x = 3 (7) = 21

cross multiply first we will get 7x=y put the vaLUE of y in 3y/x we get 3(7x)/x=21

First, divide both sides with 2/3. You get 10x+8y=3x+9y. When you simplify this, you get 7x-y=0. From this, x=y/7. Now put this value of x in 3y/x. You get 21.

first, applying the cross multiplication and we will have:

• 10x + 8y =3x + 9y

and then transposing and combining like terms and simplifying;

• y = 7x

then get the value of x for which 3y/x is a fractional equation having x is unknown so, divide 7 on both sides of the equation having,

• x = y/7

then substitute the value of in 3y/x so,

• 3y / y/7

• 3y (7) / y

• 21y / y

then the final answer is 21. that's how its easy.

$\frac{5x+4y}{x+3y}=\frac{3}{2} \implies 10x+8y=3x+9y \implies 7x=y \implies \frac{y}{x}=\boxed{7}$

Now, $\frac{3y}{x} = 3\times \frac{y}{x} = 3\times 7 =\boxed{21}$

(5x+4y)/(x+3y)=3/2 or 10x+8y=3x+9y SO, 10x-3x=9y-8y SO, 7x=y
Put the value of y in 3y/x.. and it will be (3*7x)/x so the ans is 21

Cross multiplying The Fraction We Will get 7x=y Now Multiplying by 3 And Then Dividing By x We Get 3y/x=21

10x+8y=3x+9y,then y/x=7; 3y/x=21

5x + 4y = 3

• x + 3y = 2

= 5x + 4y = 3

-5(x + 3y = 2)

= 5x + 4y = 3

-5x -15y = -10

= 4y- 15y = 3-10

= -11y = -7 -11 -11

y = 7/11

x + 3 (7/11) = 2 = x + 21/11 = 2 = x = 2- (21/11) = x = 1/11

3y/x = (3(21/11)) / (1/11) = 21

Firstly, we'll do cross multiplication, we'll multiply 2 in eqn. 5x+4y i.e. 2(5x+4y) and 3 in eqn. x+3y i.e. 3(x+3y) which will be equal to 10x+8y and 3x+9y respectively now,10x+8y=3x+9y on solving this eqn. we'll get ans 7x=y ,put value of y=7x in 3y/x then, 3(7x)/x =21

5x+4y/x+3y=3/2 By Cross - Multiplication

10x+8y = 3x+9y 10x-3x =9y - 8y(Transpose Method) 7x = y 3y/x=? As y = 7x

3*7x/x =21

take 5x+4y=3………..(1) x+3y=2…………..(2), x=2-3y, ……….(3) from (1) 5(2-3y)+4y=3, 10-15y+4y=3, 7-11y=0, 11y=7,
Y=7/11 ,
From(3)
X=2-3(7/11)=(22-21)/11=1/11,
3y/x=3(7/11)/(1/11) , =(21/11)*11=21