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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