Use Cramers method to solve:
a + b = 88
13a + 17b = 128
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
a + b = 88
a = 1, b = 1, c = 88
Find d, e, f in dx + ey = f
13a + 17b = 128
d = 13, e = 17, f = 128
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 17) - (1 * 13)
Δ = 17 - 13
Δ = 4
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (88 * 17) - (1 * 128)
Numerator(a) = 1496 - 128
Numerator(a) = 1368
Step 3, calculate the numerator for b
Numerator(b) = a * f - c * d
Numerator(b) = (1 * 128) - (88 * 13)
Numerator(b) = 128 - 1144
Numerator(b) = -1016
Evaluate and solve:
| a = | Numerator(a) | |
| Δ |
| a = | 1368 | |
| 4 |
a = 342
| b = | Numerator(b) | |
| Δ |
| b = | -1016 | |
| 4 |
b = -254
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