Question

need solution immediately​

Answer 1

Answer:

2x + 3y = 32

Step-by-step explanation:

4x^2 - 9y^2 = 128

This can be simplify into

(2x - 3y) (2x + 3y) = 128

Since 2x- 3y = 4

Let's substitute 4 for 2x - 3y  

4(2x + 3y) = 128

2x + 3y = 128/4

2x + 3y = 32

Answer 2

★Answer :-

• 32

★Solution :-

• Here we will use the identity then he will put the value of the given term and then find the value of (2x + 3y).

Identity Used -

(a²- b²) = (a-b)(a+b)

• Here , the given value of following terms are

1. 4x²-9y²=128
2. 2x-3y = 4

• Now we will choose the identity then we will find the value of (2x + 3y)

$\mapsto\sf{\ 4x^{2}-\ 9y^{2}=128}$

${}$

$\mapsto\sf{\ (2x)^{2}-\ (3y)^{2}=128}$

Now we will use the identity.....

$\mapsto\sf{(2x-3y)(2x+3y)=128}$

Put the value of (2x-3y)

${}$

$\mapsto\sf{4(2x+3y)=128}$

${}$

$\mapsto\sf{2x+3y=\dfrac{128}{4}}$

${}$

$\mapsto\sf{2x+3y=32}$

${}$

So, forget the value of 2x + 3y = 32