l Use Substitution to solve g + r = 1197 and 2g + 5.50r = 3577

Enter Equation 1

Enter Equation 2

    

Use the substitution method to solve:

g + r = 1197

2g + 5.50r = 3577

Check Format

Equation 1 is in the correct format.

Check Format

Equation 2 is in the correct format.

Rearrange Equation 2 to solve for g:

2g + 5.5r = 3577

Subtract 5.5r from both sides to isolate g:

2g + 5.5r - 5.5r = 3577 - 5.5r

2g = 3577 - 5.5r

Now divide by 2:

2g
2
=
  
3577 - 5.5r
2

Revised Equation 2:

g  =  3577 - 5.5r
  2

Plug Revised Equation 2 value into g:

1(g) + r = 1197

1 * ((3577 - 5.50r)/2) + r = 1197

((3577 - 5.5r)/2) + r = 1197

Multiply equation 1 through by 2

2 * (((3577 - 5.5r)/2) + r = 1197)

2 * (((3577 - 5.5r)/2) + r = 1197)

3577 - 5.5r + 2r = 2394

Group like terms:

-5.5r + 2r = 2394 - 3577

-3.5r = -1183

Divide each side by -3.5

-3.5r
-3.5
=
  
-1183
-3.5

r  =  -1183
  -3.5

r = 338

Plug this answer into Equation 1

1g + 1(338) = 1197

1g + 338 = 1197

1g = 1197 - 338

1g = 859

Divide each side by 1

1g
1
=
  
859
1

g  =  859
  1

g = 859

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