Choose the correct option that explains what steps were followed to obtain the system of equations below

The correct option will be :

A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

System A :

-x - 2y = 7 ..........(1)

5x - 6y = -3 ..........(2)

If we multiply the first equation by 5, then we will get :

5(- x - 2y) = 5(7)

⇒ - 5x - 10y = 35 ........... (3)

Now the Sum of equation (2) and equation (3) is:

⇒ Sum :

Now if we replace the second equation in system A with this , then we will get the system B.

Solution of system B:

First we will take the second equation as there is only one variable 'y'. So, we will solve that equation for 'y'

Now for solving 'x', we will plug y= -2 into the first equation

So, the solution of system B is (-3, -2), that means the solution of both systems are same.

i can you, i love poetry

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have