Question

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

Answer 1

Answer:

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