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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in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8