Use Cramers method to solve:
c + s = 300
3c + 1.5s = 825
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
c + s = 300
a = 1, b = 1, c = 300
Find d, e, f in dx + ey = f
3c + 1.5s = 825
d = 3, e = 1.5, f = 825
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 1.5) - (1 * 3)
Δ = 1.5 - 3
Δ = -1.5
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (300 * 1.5) - (1 * 825)
Numerator(c) = 450 - 825
Numerator(c) = -375
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 825) - (300 * 3)
Numerator(s) = 825 - 900
Numerator(s) = -75
Evaluate and solve:
| c = | Numerator(c) | |
| Δ |
| c = | -375 | |
| -1.5 |
c = 250
| s = | Numerator(s) | |
| Δ |
| s = | -75 | |
| -1.5 |
s = 50
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