Use Cramers Method to solve f + t = 31 and 0.05f + 0.2t = 3.50
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Use Cramers method to solve:
f + t = 31
0.05f + 0.2t = 3.50
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
f + t = 31
a = 1, b = 1, c = 31
Find d, e, f in dx + ey = f
0.05f + 0.2t = 3.50
d = 0.05, e = 0.2, f = 3.50
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 0.2) - (1 * 0.05)
Δ = 0.2 - 0.05
Δ = 0.15
Step 2, calculate the numerator for f
Numerator(f) = c * e - b * f
Numerator(f) = (31 * 0.2) - (1 * 3.50)
Numerator(f) = 6.2 - 3.5
Numerator(f) = 2.7
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 3.50) - (31 * 0.05)
Numerator(t) = 3.5 - 1.55
Numerator(t) = 1.95
Evaluate and solve:
f =
Numerator(f)
Δ
f =
2.7
0.15
f = 18
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
1.95
0.15
t = 13
You have 2 free calculationss remaining
What is the Answer?
t = 13
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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