Solve by using substitution. state the solution as an ordered pair.
5x-y=1
-10x+2y=-2

The solution to the system of equations is x=1/5 y= 0

Step-by-step explanation:

solving this system of equation using substitution method  

 5x-y=1 …..   equation (1)    

 -10x + 2y =-2   ….. equation (2)  

Solving for value of x from equation 2  

-10x =-2-2y    

so x= -2-2y/-10 =  - 2(1+y)/-10=

so x = 1+y/5 equation 3

The second equation is solved for x, so we can substitute the expression 1+y/5 in for x in the first equation (1)

-10(1+y)/5+2y=-2

-2(1+y) + 2y = -2

-2-2y= -2

-2y= -2+2

y=0

Putting value of y in equation 3

x = 1+y/5.

x= 1+ 0/5 = 1/5

The solution to the system of equations is x=1/5 y= 0  

We can check our work by plugging these numbers back into the original equations. Let's try  5x-y=1       

 5(1/5)-0=1      

1 -0= 1

1=1

Yes, our solution checks out.