Question

Simultaneous equation If 5x+4y=12 and 4x+5y=1 then what is the value of x-y​

Answer 1

Answer:

x-y= -7.77

Step-by-step explanation:

Given:

5x+4y=12 (equation.i)

4x+5y=1 (equation ii)

To find:

The value of x-y

So first,

find the value of x and y

Substitution method:

If,

4x+5y=1

Then

x= 1-5y/4 (equation iii)

Substituting this in equation (i)

we get,

5 × 1 - 5y / 4 + 4y = 12

5 × 1 - 5y + 16y / 4 = 12

5 × 1 + 11y / 4 = 12

5 × 1 + 11y = 12 × 4

5 + 11y = 48

11y = 48 - 5

y = 43 / 11

y = 3.9 ( approx.)

Substituting this in equation (iii)

we get,

1 - 5 × 3.9 / 4

x = - 3.87

∴ The value of x-y is

-3.87 - 3.9

= -7.77

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