Use Cramers Method to solve 4a + 3c = 40 and 2a + 6c = 38
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Use Cramers method to solve:
4a + 3c = 40
2a + 6c = 38
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
4a + 3c = 40
a = 4, b = 3, c = 40
Find d, e, f in dx + ey = f
2a + 6c = 38
d = 2, e = 6, f = 38
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (4 * 6) - (3 * 2)
Δ = 24 - 6
Δ = 18
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (40 * 6) - (3 * 38)
Numerator(a) = 240 - 114
Numerator(a) = 126
Step 3, calculate the numerator for c
Numerator(c) = a * f - c * d
Numerator(c) = (4 * 38) - (40 * 2)
Numerator(c) = 152 - 80
Numerator(c) = 72
Evaluate and solve:
a =
Numerator(a)
Δ
a =
126
18
a = 7
You have 2 free calculationss remaining
c =
Numerator(c)
Δ
c =
72
18
c = 4
You have 2 free calculationss remaining
What is the Answer?
c = 4
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
Pick any 3 of the methods to solve the systems of equations
2 equations 2 unknowns This calculator has 2 inputs.
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