Use Cramers Method to solve m + s = 20 and 3m + 8s = 100
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Use Cramers method to solve:
m + s = 20
3m + 8s = 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
m + s = 20
a = 1, b = 1, c = 20
Find d, e, f in dx + ey = f
3m + 8s = 100
d = 3, e = 8, f = 100
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 8) - (1 * 3)
Δ = 8 - 3
Δ = 5
Step 2, calculate the numerator for m
Numerator(m) = c * e - b * f
Numerator(m) = (20 * 8) - (1 * 100)
Numerator(m) = 160 - 100
Numerator(m) = 60
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 100) - (20 * 3)
Numerator(s) = 100 - 60
Numerator(s) = 40
Evaluate and solve:
m =
Numerator(m)
Δ
m =
60
5
m = 12
You have 2 free calculationss remaining
s =
Numerator(s)
Δ
s =
40
5
s = 8
You have 2 free calculationss remaining
What is the Answer?
s = 8
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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