Answer
Success!
a = 195 and c = 132
↓Steps Explained:↓
Use the substitution method to solve:
4a + 1.50c = 978
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for a:
4a + 1.5c = 978
Subtract 1.5c from both sides to isolate a:
4a + 1.5c - 1.5c = 978 - 1.5c
4a = 978 - 1.5c
Now divide by 4:
| 4a | |
| 4 |
| = |
| 978 - 1.5c |
| 4 |
Plug Revised Equation 2 value into a:
1(a) + c = 327
1 * ((978 - 1.50c)/4) + c = 327
((978 - 1.5c)/4) + c = 327
Multiply equation 1 through by 4
4 * (((978 - 1.5c)/4) + c = 327)
4 * (((978 - 1.5c)/4) + c = 327)
978 - 1.5c + 4c = 1308
Group like terms:
-1.5c + 4c = 1308 - 978
2.5c = 330
Divide each side by 2.5
| 2.5c | |
| 2.5 |
| = |
| 330 |
| 2.5 |
| c = | 330 |
| 2.5 |
c = 132
Plug this answer into Equation 1
1a + 1(132) = 327
1a + 132 = 327
1a = 327 - 132
1a = 195
Divide each side by 1
| 1a | |
| 1 |
| = |
| 195 |
| 1 |
| a = | 195 |
| 1 |
a = 195
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