Mathematics: Need help on this question

Need help on this question - id5765772, bounce76

torioricker

22.01.2022

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.

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