Use the elimination method to solve the following system of equations.
4x - 12y = 0
x + 3y = 7

For this case we have the following system of equations:

To solve, we follow the steps below:

We multiply the second equation by -4:

We add the equations:

Equal signs are added and the same sign is placed.

We look for the value of the variable "x":

Thus, the solution of the system is:

x= 7/2        y = 7/6

Step-by-step explanation:

4x - 12y = 0

x + 3y = 7

Multiply the second by( -4) to eliminate the X variable

4x - 12y = 0

-4x -12y=  -28

ADD BOTH

-24y=-28

Divide both by  -24

y= 28/24

y=7/6

Plug y into  second equation

x + 3y = 7

x+ 3(7/6) = 7

x+21/6=7

x+7/2=7

x=7-(7/2)

x=( 14/2) - (7/2)

x= 7/2

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distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.