Answer
c = 291
Steps Explained:
Use Cramers method to solve:
2a + 1.75c = 755.25
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
a + c = 414
a = 1, b = 1, c = 414
Find d, e, f in dx + ey = f
2a + 1.75c = 755.25
d = 2, e = 1.75, f = 755.25
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 1.75) - (1 * 2)
Δ = 1.75 - 2
Δ = -0.25
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (414 * 1.75) - (1 * 755.25)
Numerator(a) = 724.5 - 755.25
Numerator(a) = -30.75
Step 3, calculate the numerator for c
Numerator(c) = a * f - c * d
Numerator(c) = (1 * 755.25) - (414 * 2)
Numerator(c) = 755.25 - 828
Numerator(c) = -72.75
Evaluate and solve:
| a = | Numerator(a) | |
| Δ |
| a = | -30.75 | |
| -0.25 |
| c = | Numerator(c) | |
| Δ |
| c = | -72.75 | |
| -0.25 |
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