Question

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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.