Use elimination to solve each system of equations. 1/3x-y=-1 and 1/5x-2/5y=-1

x=-9 and y=-2

Step-by-step explanation:

Multiply the first equation by 2, and multiply the second equation by - 5.

2 (1/3x-y=-1)

-5 (1/5x-2/5y=-1)

Becomes: 2/3x-2y=-2

-x+2y=5

Add these equations to eliminate y:

-1/3 x=3

Then solve - 1/3x=3 for x:

-1/3x 3

-1/3 = - 1/3

(Divide both sides by (-1) / 3)

x=-9

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

1/3x-y=-1

Substitute-9 for x in 1/3x-y=-1:

1/3 (-9) - y=-1

-y-3=-1 (Simplify both sides of the equation)

-y-3+3=-1+3 (Add 3 to both sides)

-y=2

-y

-1=

2

-1

(Divide both sides by - 1)

y=-2