Answer
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s = 124
↓Steps Explained:↓
Use Cramers method to solve:
8a + 5s = 1028
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 + s = 175
a = 1, b = 1, c = 175
Find d, e, f in dx + ey = f
8a + 5s = 1028
d = 8, e = 5, f = 1028
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 5) - (1 * 8)
Δ = 5 - 8
Δ = -3
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (175 * 5) - (1 * 1028)
Numerator(a) = 875 - 1028
Numerator(a) = -153
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 1028) - (175 * 8)
Numerator(s) = 1028 - 1400
Numerator(s) = -372
Evaluate and solve:
| a = | Numerator(a) | |
| Δ |
| a = | -153 | |
| -3 |
| s = | Numerator(s) | |
| Δ |
| s = | -372 | |
| -3 |
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