Question

Solve the system by elimination 2x - y = 1 and x - 2y = -1

Answer 1

Answer:x=1, y=1 point (1,1)

Explanation:

Answer 2

x = 1 and y = 1

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