Question

solve using algebraic identity (5x^2+3/4y^2)(5x^2-3/4y^2)​

Answer 1

Use the identity

(a+b)(a-b)=a²-b²

Answer 2

This is example

Given equations are,

5

y+7

=

4

2y−x

+3x−5

⇒4(y+7)=5(2y−x+12x−20)

⇒4y+28=10y+55x−100

⇒55x+6y=128 ....(1)

and

2

7−5x

+

6

3−4y

=5y−18

⇒3(7−5x)+(3−4y)=6(5y−18)

⇒21−15x+3−4y=30y−108

⇒15x+34y=132 ....(2)

Multiply (1) by 3 and (2) by 11, we get

165x+18y=384

165x+374y=1452

Subtracting above equations we get

356y=1068⟹y=3

Put value of y in (1)

we get x=2

∴x=2,y=3