Question

solve 4upon X +5upon Y = 7 ; 3upon X + 4 upon Y = 11 upon 2

Answer 1

$\dfrac{4}{X}$ + $\dfrac{5}{Y}$ = 7

$\dfrac{3}{X}$ + $\dfrac{4}{Y}$ = $\dfrac{11}{2}$

Let,

$\dfrac{1}{X}$ = x and $\dfrac{1}{Y}$ = y

New equations –

4x + 5y = 7 _____( 1 )

3x + 4y = $\dfrac{11}{2}$ ______( 2 )

Multiply ( 1 ) by 3, we get

12x + 15y = 21 _______( 3 )

Multiply ( 2 ) by 4, we get

12x + 16y = 22 ________( 4 )

Subtract ( 3 ) and ( 4 ), we get

15y - 16y = 21 - 22

- y = - 1

y = 1

Put this value in ( 1 ), we get

4x + 5 ( 1 ) = 7

4x + 5 = 7

4x = 7 - 5

4x = 2

x = $\dfrac{2}{4}$

x = $\dfrac{1}{2}$

Now, As we assumed earlier

$\dfrac{1}{X}$ = x

So,

$\dfrac{1}{X}$ = $\dfrac{1}{2}$

X = 2

Also,

$\dfrac{1}{Y}$ = y

$\dfrac{1}{Y}$ = 1

Y = 1

Hence, $<b>X = 2 and Y = 1</b>$

Answer 2

Answer:

Hope this helps you

Step-by-step explanation: