Use Cramers Method to solve 90A + 20B = 13000 and 270A + 30B = 33000
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Use Cramers method to solve:
90A + 20B = 13000
270A + 30B = 33000
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
90A + 20B = 13000
a = 90, b = 20, c = 13000
Find d, e, f in dx + ey = f
270A + 30B = 33000
d = 270, e = 30, f = 33000
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (90 * 30) - (20 * 270)
Δ = 2700 - 5400
Δ = -2700
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (13000 * 30) - (20 * 33000)
Numerator(a) = 390000 - 660000
Numerator(a) = -270000
Step 3, calculate the numerator for b
Numerator(b) = a * f - c * d
Numerator(b) = (90 * 33000) - (13000 * 270)
Numerator(b) = 2970000 - 3510000
Numerator(b) = -540000
Evaluate and solve:
a =
Numerator(a)
Δ
a =
-270000
-2700
a = 100
You have 2 free calculationss remaining
b =
Numerator(b)
Δ
b =
-540000
-2700
b = 200
You have 2 free calculationss remaining
What is the Answer?
b = 200
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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