3x-y=14
9x- =-27

use the method of substitution to solve

The solution to the system of equations is x=3 y= 23  

Step-by-step explanation:

solving this system of equation using substitution method  

 -3x-y=14 …..   equation (1)    

 -9x =-27   ….. equation (2)  

Solving for value of x from equation 2  

-9x =-27    

so x= -27/-9 = 3

so x = 3

The second equation is solved for x, so we can substitute the expression 3 in for x in the first equation (1)

-3x-y=14

-3 (3) - y =14  

-9-y= 14

-9=14+y

y=-23

The solution to the system of equations is x=3 y= -23  

We can check our work by plugging these numbers back into the original equations. Let's try -3x-y=14      

-3x-y=14      

-3(3) -(-23)= 14

-9+23 = 14

14= 14

Yes, our solution checks out.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents