Question

x+y = 32
x-y = 18
find xy = ?​

Answer 1

Answer:

hope my answer helps you..

Answer 2

Concept:

A system of equations is a set of numbers and variables with mathematical operations.

Given:

We have,

x + y = 32

x - y = 18

Find:

We are asked to find the product of xy.

Solution:

So,

We have,

x + y = 32     .....(i)

x - y = 18     .....(ii)

So,

Now rewrite equation (i) as,

x + y = 32

⇒

x = 32 - y    .....(iii)

So,

Now,

Substitute the value of x = 32 - y in equation (ii),

i.e.

x - y = 18

We get,

32 - y - y = 18

32 - 2y = 18

Now, simplify, by keeping variable term on one side and constant term on another side,

- 2y = 18 - 32

-2y = -14

On solving we get,

y = 7

So,

Now,

Substitute this value of y = 7 in equation (iii),

i.e.

x = 32 - y

We get,

x = 32 - 7

On solving we get,

x = 25

So,

According to the question,

Now,

The product of xy = 25 × 7 = 175

Hence, the product of xy is 175.

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