Use Cramers Method to solve t + m = 20 and 3t + 11m = 100
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Use Cramers method to solve:
t + m = 20
3t + 11m = 100
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
t + m = 20
a = 1, b = 1, c = 20
Find d, e, f in dx + ey = f
3t + 11m = 100
d = 3, e = 11, f = 100
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 11) - (1 * 3)
Δ = 11 - 3
Δ = 8
Step 2, calculate the numerator for t
Numerator(t) = c * e - b * f
Numerator(t) = (20 * 11) - (1 * 100)
Numerator(t) = 220 - 100
Numerator(t) = 120
Step 3, calculate the numerator for m
Numerator(m) = a * f - c * d
Numerator(m) = (1 * 100) - (20 * 3)
Numerator(m) = 100 - 60
Numerator(m) = 40
Evaluate and solve:
t =
Numerator(t)
Δ
t =
120
8
t = 15
You have 2 free calculationss remaining
m =
Numerator(m)
Δ
m =
40
8
m = 5
You have 2 free calculationss remaining
What is the Answer?
m = 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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