Use Cramers Method to solve 10v 6b = 276 and 5v 2b = 117
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Use Cramers method to solve:
10v + 6b = 276
5v + 2b = 117
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
10v + 6b = 276
a = 10, b = 6, c = 276
Find d, e, f in dx + ey = f
5v + 2b = 117
d = 5, e = 2, f = 117
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (10 * 2) - (6 * 5)
Δ = 20 - 30
Δ = -10
Step 2, calculate the numerator for v
Numerator(v) = c * e - b * f
Numerator(v) = (276 * 2) - (6 * 117)
Numerator(v) = 552 - 702
Numerator(v) = -150
Step 3, calculate the numerator for b
Numerator(b) = a * f - c * d
Numerator(b) = (10 * 117) - (276 * 5)
Numerator(b) = 1170 - 1380
Numerator(b) = -210
Evaluate and solve:
v =
Numerator(v)
Δ
v =
-150
-10
v = 15
You have 2 free calculationss remaining
b =
Numerator(b)
Δ
b =
-210
-10
b = 21
You have 2 free calculationss remaining
What is the Answer?
b = 21
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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