Answer:
x = 1 and y = 1
Step-by-step explanation:
Let's solve your system by elimination.
2x − y = 1 and x − 2y = −1
Multiply the second equation by -2, then add the equations together.
(2x−y=1)
−2(x−2y=−1)
Becomes:
2x−y=1
−2x+4y=2
Add these equations to eliminate x:
3y=3
Then solve3y=3for y:
3y=3
3y3=33(Divide both sides by 3)
y=1
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x−y=1
Substitute1foryin2x−y=1:
2x−1=1
2x−1+1=1+1(Add 1 to both sides)
2x=2
2x2=22(Divide both sides by 2)
x=1
Answer:
x=1 and y=1
