X+6y=27

7x-3y=9 por metodo de igualacion

(3,4)

Step-by-step explanation:

The system of equations is:

x+6y=27

7x-3y=9.

I looked up "metodo de igualacion". It is basically American for doing substitution.

However, the only difference is you are asked to solve both equations for a variable.

The first equation looks easy to solve for x. So I'm going to solve both equations for x.

x+6y=27

Subtract 6y on both sides:

x = -6y+27

7x-3y=9

Add 3y on both sides:

7x = 3y+9

Divide both sides by 7:

x = 3/7 y + 9/7

So both equations are solved for x. You want to find when the x's are the same because you are looking for a common amongst the lines given.

So we have

-6y+27=3/7 y + 9/7

I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:

-42y+189=3y + 9

Now add 42y on both sides:

189=45y+9

Subtract 9 on both sides:

180=45y

Divide both sides by 45:

4=y

If 4=y, then y=4.

So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.

I like the x=-6y+27 with y=4.

So replace y with giving you:

x=-6 (4) + 27

x=-24+27

x=3

So the solution is (x, y) = (3,4).

x=3 and y=4.