Use Cramers Method to solve n + s = 1340 and 10n + 8s = 12200
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Use Cramers method to solve:
n + s = 1340
10n + 8s = 12200
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
n + s = 1340
a = 1, b = 1, c = 1340
Find d, e, f in dx + ey = f
10n + 8s = 12200
d = 10, e = 8, f = 12200
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 8) - (1 * 10)
Δ = 8 - 10
Δ = -2
Step 2, calculate the numerator for n
Numerator(n) = c * e - b * f
Numerator(n) = (1340 * 8) - (1 * 12200)
Numerator(n) = 10720 - 12200
Numerator(n) = -1480
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 12200) - (1340 * 10)
Numerator(s) = 12200 - 13400
Numerator(s) = -1200
Evaluate and solve:
n =
Numerator(n)
Δ
n =
-1480
-2
n = 740
You have 2 free calculationss remaining
s =
Numerator(s)
Δ
s =
-1200
-2
s = 600
You have 2 free calculationss remaining
What is the Answer?
s = 600
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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