Solve the system by the method of elimination.

x=3,y=1

Step-by-step explanation:

x+2y = 5

x-2y = 1

Add the two equations together to eliminate y

x+2y = 5

x-2y = 1

2x +0y = 6

Divide by 2

2x/2 = 6/2

x = 3

Then solve for y

x+2y = 5

3 + 2y =5

2y = 5-3

2y = 2

Divide by 2

2y/2 = 2/2

y =1

x=3,y=1

Check

3+2(1) = 5

5=5

3-2(1)=1

1=1

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.