Use Cramers Method to solve 4d + 3p = 33.50 and 6d + 5p = 54
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Use Cramers method to solve:
4d + 3p = 33.50
6d + 5p = 54
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
4d + 3p = 33.50
a = 4, b = 3, c = 33.50
Find d, e, f in dx + ey = f
6d + 5p = 54
d = 6, e = 5, f = 54
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (4 * 5) - (3 * 6)
Δ = 20 - 18
Δ = 2
Step 2, calculate the numerator for d
Numerator(d) = c * e - b * f
Numerator(d) = (33.50 * 5) - (3 * 54)
Numerator(d) = 167.5 - 162
Numerator(d) = 5.5
Step 3, calculate the numerator for p
Numerator(p) = a * f - c * d
Numerator(p) = (4 * 54) - (33.50 * 6)
Numerator(p) = 216 - 201
Numerator(p) = 15
Evaluate and solve:
d =
Numerator(d)
Δ
d =
5.5
2
d = 2.75
You have 2 free calculationss remaining
p =
Numerator(p)
Δ
p =
15
2
p = 7.5
You have 2 free calculationss remaining
What is the Answer?
p = 7.5
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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