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.