Use Cramers Method to solve c + v = 40 and 4c + 6v = 180
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Use Cramers method to solve:
c + v = 40
4c + 6v = 180
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
c + v = 40
a = 1, b = 1, c = 40
Find d, e, f in dx + ey = f
4c + 6v = 180
d = 4, e = 6, f = 180
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 6) - (1 * 4)
Δ = 6 - 4
Δ = 2
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (40 * 6) - (1 * 180)
Numerator(c) = 240 - 180
Numerator(c) = 60
Step 3, calculate the numerator for v
Numerator(v) = a * f - c * d
Numerator(v) = (1 * 180) - (40 * 4)
Numerator(v) = 180 - 160
Numerator(v) = 20
Evaluate and solve:
c =
Numerator(c)
Δ
c =
60
2
c = 30
You have 2 free calculationss remaining
v =
Numerator(v)
Δ
v =
20
2
v = 10
You have 2 free calculationss remaining
What is the Answer?
v = 10
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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