Answer
i = 21.25
Steps Explained:
Use Cramers method to solve:
15f + 6i = 240
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
12f + 8i = 260
a = 12, b = 8, c = 260
Find d, e, f in dx + ey = f
15f + 6i = 240
d = 15, e = 6, f = 240
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (12 * 6) - (8 * 15)
Δ = 72 - 120
Δ = -48
Step 2, calculate the numerator for f
Numerator(f) = c * e - b * f
Numerator(f) = (260 * 6) - (8 * 240)
Numerator(f) = 1560 - 1920
Numerator(f) = -360
Step 3, calculate the numerator for i
Numerator(i) = a * f - c * d
Numerator(i) = (12 * 240) - (260 * 15)
Numerator(i) = 2880 - 3900
Numerator(i) = -1020
Evaluate and solve:
| f = | Numerator(f) | |
| Δ |
| f = | -360 | |
| -48 |
| i = | Numerator(i) | |
| Δ |
| i = | -1020 | |
| -48 |
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