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
