Question: solve the system of equations using the addition method. 5x - 2y = 12 3x + 2y = 36 show your steps, and explain how you verify the solution. plz respond quick

x = 6 and y= 9

Step-by-step explanation:

To solve the equation, we can use elimination method, substitution method or both method

In our own case, we are going to use both method, but we will start with elimination method first;

5x - 2y = 12 (1)

3x + 2y = 36 (2)

Add equation (1) and equation (2) together, the resulting equation is;

8x = 48

To get the value of x, divide both-side of the equation by 8

8x/8  = 48/8

x =6

Now, we will use substitution method to find y.

Substitute x =6 in equation (1)

5x - 2y = 12

5(6) - 2y = 12

30 -2y = 12

subtract 30 from both-side of the equation

30-30 -2y = 12 - 30

-2y = -18

Divide both-side of the equation by -2

-2y/-2 = -18/-2

y =9

Therefore, x =6 and y =9

4 to the power of 3 is 64 and 64/2 is 32 so the answer is 32