Use Cramers Method to solve 38s + 61t = 791.50 and 54s + 50t = 923
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Use Cramers method to solve:
38s + 61t = 791.50
54s + 50t = 923
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
38s + 61t = 791.50
a = 38, b = 61, c = 791.50
Find d, e, f in dx + ey = f
54s + 50t = 923
d = 54, e = 50, f = 923
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (38 * 50) - (61 * 54)
Δ = 1900 - 3294
Δ = -1394
Step 2, calculate the numerator for s
Numerator(s) = c * e - b * f
Numerator(s) = (791.50 * 50) - (61 * 923)
Numerator(s) = 39575 - 56303
Numerator(s) = -16728
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (38 * 923) - (791.50 * 54)
Numerator(t) = 35074 - 42741
Numerator(t) = -7667
Evaluate and solve:
s =
Numerator(s)
Δ
s =
-16728
-1394
s = 12
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
-7667
-1394
t = 5.5
You have 2 free calculationss remaining
What is the Answer?
t = 5.5
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
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2 equations 2 unknowns This calculator has 2 inputs.
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