Use Cramers Method to solve 5a - 2b = 23 and 1a - 5b = 23
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Use Cramers method to solve:
5a - 2b = 23
1a - 5b = 23
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
5a - 2b = 23
a = 5, b = -2, c = 23
Find d, e, f in dx + ey = f
1a - 5b = 23
d = 1, e = -5, f = 23
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (5 * -5) - (-2 * 1)
Δ = -25 - -2
Δ = -23
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (23 * -5) - (-2 * 23)
Numerator(a) = -115 - -46
Numerator(a) = -69
Step 3, calculate the numerator for b
Numerator(b) = a * f - c * d
Numerator(b) = (5 * 23) - (23 * 1)
Numerator(b) = 115 - 23
Numerator(b) = 92
Evaluate and solve:
a =
Numerator(a)
Δ
a =
-69
-23
a = 3
You have 2 free calculationss remaining
b =
Numerator(b)
Δ
b =
92
-23
b = -4
You have 2 free calculationss remaining
What is the Answer?
b = -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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