Use Cramers method to solve:
10c + 3s = 82
5c + 8s = 67
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Set up standards equations
Standard equation 1 = ax + by = c and Standard equation 2 = dx + ey = f.
Find a, b, c in ax + by = c
10c + 3s = 82
a = 10, b = 3, c = 82
Find d, e, f in dx + ey = f
5c + 8s = 67
d = 5, e = 8, f = 67
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (10 * 8) - (3 * 5)
Δ = 80 - 15
Δ = 65
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (82 * 8) - (3 * 67)
Numerator(c) = 656 - 201
Numerator(c) = 455
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (10 * 67) - (82 * 5)
Numerator(s) = 670 - 410
Numerator(s) = 260
Evaluate and solve:
| c = | Numerator(c) | |
| Δ |
| c = | 455 | |
| 65 |
c = 7
| s = | Numerator(s) | |
| Δ |
| s = | 260 | |
| 65 |
s = 4
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