Question

What is the solution ?

Answer 1

x = - 2

y = - 4

Explanation:

The given equations are:

`$ 4x - 3y = 4 \hspace{10mm} \hdots (1) $`

`$ x - y = 2 \hspace{12mm} \hdots (2) $`

To solve this system of equations, we eliminate one variable.

Let us eliminate the variable 'x' here.

To do that multiply Equation (2) by 4.

⇒ 4x - 4y = 8 . . . (3)

The co - effecients of x in both the equations are now same. Subtract the two equations.

(1) - (3) = -3y - (-4y) = 4 - 8

⇒ - 3y + 4y = - 4

⇒ y = - 4

Substituting the value of 'y' in Equation (2) we get:

x - (-4) = 2

⇒ x + 4 = 2

⇒ x = - 2 which is the required answer.

Hence (x, y) = (-2, - 4) is the solution to the above system of equations.