Use Cramers Method to solve 12f + 8i = 260 and 15f + 6i = 240
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Use Cramers method to solve:
12f + 8i = 260
15f + 6i = 240
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
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
f = 7.5
You have 2 free calculationss remaining
i =
Numerator(i)
Δ
i =
-1020
-48
i = 21.25
You have 2 free calculationss remaining
What is the Answer?
i = 21.25
How does the Simultaneous Equations Calculator work?
Free Simultaneous Equations Calculator - Solves a system of simultaneous equations with 2 unknowns using the following 3 methods: 1) Substitution Method (Direct Substitution) 2) Elimination Method 3) Cramers Method or Cramers Rule
Pick any 3 of the methods to solve the systems of equations
2 equations 2 unknowns This calculator has 2 inputs.
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