Use Cramers method to solve:
a + s = 324
7a + 3s = 1228
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 + s = 324
a = 1, b = 1, c = 324
Find d, e, f in dx + ey = f
7a + 3s = 1228
d = 7, e = 3, f = 1228
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 3) - (1 * 7)
Δ = 3 - 7
Δ = -4
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (324 * 3) - (1 * 1228)
Numerator(a) = 972 - 1228
Numerator(a) = -256
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 1228) - (324 * 7)
Numerator(s) = 1228 - 2268
Numerator(s) = -1040
Evaluate and solve:
| a = | Numerator(a) | |
| Δ |
| a = | -256 | |
| -4 |
a = 64
| s = | Numerator(s) | |
| Δ |
| s = | -1040 | |
| -4 |
s = 260
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