Use Cramers Method to solve f + t = 52 and 5f + 10t = 320
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Use Cramers method to solve:
f + t = 52
5f + 10t = 320
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 = 52
a = 1, b = 1, c = 52
Find d, e, f in dx + ey = f
5f + 10t = 320
d = 5, e = 10, f = 320
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 10) - (1 * 5)
Δ = 10 - 5
Δ = 5
Step 2, calculate the numerator for f
Numerator(f) = c * e - b * f
Numerator(f) = (52 * 10) - (1 * 320)
Numerator(f) = 520 - 320
Numerator(f) = 200
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 320) - (52 * 5)
Numerator(t) = 320 - 260
Numerator(t) = 60
Evaluate and solve:
f =
Numerator(f)
Δ
f =
200
5
f = 40
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
60
5
t = 12
You have 2 free calculationss remaining
What is the Answer?
t = 12
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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