Question

Need help on this question

Answer 1

Given:

The two equations are $2x-5y=-7$ and $5x-3y=11$

We need to solve the equations using elimination method.

Elimination method:

Let us multiply the equation $2x-5y=-7$ by 5, we get;

$10x-25y=-35$ ---------(1)

Now, multiplying the equation $5x-3y=11$ by -2, we get;

$-10x+6y=-22$ --------(2)

Adding equations (1) and (2), we have;

$\ \ \ 10x-25y=-35\\-10x+\ \ 6y=-22\\---------\\-19y=-57$

      $y=3$

Thus, the value of y is 3.

Substituting $y=3$ in the equation $2x-5y=-7$, we have;

$2x-5(3)=-7$

  $2x-15=-7$

          $2x=8$

            $x=4$

Thus, the value of x is 4.

Hence, the solution of the system of equations is (4,3)

Therefore, Option A is the correct answer.