Which statement correctly explains how ladies could find a solution to solution to the following system of linear equations using elimination?
![Which statement correctly explains how ladies could find a solution to solution to the following system of linear equations using elimination class=](https://us-static.z-dn.net/files/dd4/2c9df3b1ada864576f947fc677f13198.png)
Given:
The system of equations is:
[tex]-4g-15h=-17[/tex]
[tex]-g+5h=13[/tex]
To find:
The correct statement that explains the solution process.
Solution:
We have,
[tex]-4g-15h=-17[/tex]
[tex]-g+5h=13[/tex]
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.
[tex]4g-20h=-52[/tex] [(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.