Solve the system of linear equations using multiplication.

braceleftze 3x + 3y = 21
6x + 12y = 36

Step-by-step explanation:

The given system is:

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

We could solve the first equation for and replace the second with that.

Let's do that.

Subtract on both sides:

So we are replacing the second in the second equation with which gives us:

Now recall the first equation we arranged so that was the subject. I'm referring to .

We can now find given that using the equation .

Let's do that.

with :

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

with :

is a true equation so the "solution" looks promising still.

with :

is also true so the solution has been verified since both equations render true for that point.

3x + 3y = 21

6x + 12y = 36

x = 8 and y = -1

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