Use Cramers Method to solve 5c + 3t = 37 and 2c + 6t = 64
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Use Cramers method to solve:
5c + 3t = 37
2c + 6t = 64
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
5c + 3t = 37
a = 5, b = 3, c = 37
Find d, e, f in dx + ey = f
2c + 6t = 64
d = 2, e = 6, f = 64
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (5 * 6) - (3 * 2)
Δ = 30 - 6
Δ = 24
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (37 * 6) - (3 * 64)
Numerator(c) = 222 - 192
Numerator(c) = 30
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (5 * 64) - (37 * 2)
Numerator(t) = 320 - 74
Numerator(t) = 246
Evaluate and solve:
c =
Numerator(c)
Δ
c =
30
24
c = 1.25
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
246
24
t = 10.25
You have 2 free calculationss remaining
What is the Answer?
t = 10.25
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
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2 equations 2 unknowns This calculator has 2 inputs.
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