Question

(3x+4y= 10) (2x+3y=7) Using elimination

Answer 1

The solution of the equations are (2,1)

Explanation:

The given equations are

$3x+4y=10$ ----------(1) and

$2x+3y=7$ ---------(2)

We need to determine the solution of the equation using elimination method.

Multiplying the equation $3x+4y=10$ by 2, we get,

$6x+8y=20$ -------(3)

Multiplying the equation $2x+3y=7$ by -3, we get,

$-6x-9y=-21$ -------(4)

Adding the equation (3) and (4), we have,

$\ \ \ 6x+8y=20\\-6x-9y=-21\\--------\\-y=-1$

  $y=1$

Thus, the value of y is 1

Substituting the value of y in equation (1), we have,

$3x+4(1)=10$

    $3x+4=10$

           $3x=6$

            $x=2$

Thus, the value of x is 2.

Hence, the solution of the equation is (2,1)