Which of the following is a solution to the system of two equations 4x + y = 51 and 2x – 6y = 6?

The solution to the system of equations given is:

Step-by-step explanation:

First, we must see our two equations given:

We can use the reduction method, with this, we must eliminate a variable, in this case, de x variable, this can do multiply the equation 2 by (-2) and add the two equations:

     3. -4x+12y = -12

Now, we operate the equations 1 and 3:

     4. 13y = 39

We solve the equation 4 and obtain the value for "y":

With the value of "y," we can replace this value in equation 1 or 2 to obtain the value of "x," in this case, we're gonna use the equation 1:

In this form, we know the solution to the system of two equations is: x = 12 and y = 3.

add 5 subtract 1

step-by-step explanation: