Use Cramers Method to solve 9c 3s = 75 and 5c 8s = 67
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Use Cramers method to solve:
9c + 3s = 75
5c + 8s = 67
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
9c + 3s = 75
a = 9, b = 3, c = 75
Find d, e, f in dx + ey = f
5c + 8s = 67
d = 5, e = 8, f = 67
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (9 * 8) - (3 * 5)
Δ = 72 - 15
Δ = 57
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (75 * 8) - (3 * 67)
Numerator(c) = 600 - 201
Numerator(c) = 399
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (9 * 67) - (75 * 5)
Numerator(s) = 603 - 375
Numerator(s) = 228
Evaluate and solve:
c =
Numerator(c)
Δ
c =
399
57
c = 7
s =
Numerator(s)
Δ
s =
228
57
s = 4
What is the Answer?
s = 4
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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