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14-02-2021
Mathematics

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If 3 + 4 = 7, 4 + 3 = 9, Find the value of (x-y).

Respuesta :

19-02-2021

Given:

Consider the equations are

[tex]3x+4y=7[/tex]

[tex]4x+3y=9[/tex]

To find:

The value of x-y.

Solution:

We have,

[tex]3x+4y=7[/tex] ...(i)

[tex]4x+3y=9[/tex] ...(ii)

Subtracting (i) from (ii), we get

[tex]4x+3y-(3x+4y)=9-7[/tex]

[tex]4x+3y-3x-4y=2[/tex]

[tex](4x-3x)+(3y-4y)=2[/tex]

[tex]x-y=2[/tex]

Therefore, the value of x-y is 2.

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