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

Given:

The system of equations is:

To find:

The correct statement that explains the solution process.

Solution:

We have,

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.

              [(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.

23

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: