Enter Equation 1

Enter Equation 2

    

Use the elimination method to solve:

x + 2y = 11

2x + y = 34

Check Format

Equation 1 is in the correct format.

Check Format

Equation 2 is in the correct format.

Step 1: Multiply Equation 1 by 2:

2 * (x+2y=11) --> 2x + 4y = 22

Step 2: Multiply Equation 2 by 1:

1 * (2x+y=34) --> 2x + 1y = 34

Step 3: Equation 1 - Equation 2:

2x + 4y = 22 - (2x + 1y = 34)
-(2x + 1y = 34)

4y - 1y = 22 - 34

Step 4: simplify and solve for y:

3y = -12

y  =  -12
  3

y = -4

Step 5: Rearrange Equation 1 to solve for x:

1x = 11 - 2y

Divide each side by 1

1x
1
=
  
11 - 2y
1

x  =  11 - 2y
  1

Step 6: Plug y = -4 into equation 1:

x  =  11 - 2(-4)
  1

x  =  11 - -8
  1

x  =  19
  1

x = 19

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