Question

7x+6y= 17 and 6x+7y=10 what is the value of x-y ?
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Answer 1

$\bf\green{QuestioN:-}$

7x + 6y = 17 and 6x + 7y = 10 what is the value of x - y ?

$\bf\red{AnsweR:-}$

The given equations are ;

• 7x + 6y = 17

• 6x + 7y = 10

Let the first equation be eq.1 and the second one be eq.2.

Then,

• $\pink\bf{7x+6y=17-------Eq.1}$

• $\blue\bf{6x+7y=10--------Eq.2}$

Subtract eq.2 from eq.1,

• $\green\bf{Eq.1~-~Eq.2}$

• $\green\bf{(7x+6y=17)-(6x+7y=10)}$

• $\green\bf{(7x-6x+6y-7y)=(17-10)}$

• $\green\bf{x-y=7}$

Henceforth!

The value of x-y = 7!

Happy Learning!!♥