Question

Which statement correctly explains how ladies could find a solution to solution to the following system of linear equations using elimination?

Answer 1

Its option A

Explanation:

Answer 2

Given:

The system of equations is:

`-4g-15h=-17`

`-g+5h=13`

To find:

The correct statement that explains the solution process.

Solution:

We have,

`-4g-15h=-17`

`-g+5h=13`

To eliminate the variable g, we need same coefficients of g having opposite signs.

The coefficient of g in first equation is -4 and the coefficient of g in bottom equation is -1. If we multiply the bottom equation by -4, then we get 4 as a coefficient of g.

`4g-20h=-52` [(i)×(-4)]

After that we can add both equation to eliminate the variable g and then we can solve to h.

She can multiply the bottom equation by -4 and then add the equations to solve for h.

Therefore, the correct option is A.