Use Cramers Method to solve d + q = 40 and 0.1d + 0.25q = 7.60
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Use Cramers method to solve:
d + q = 40
0.1d + 0.25q = 7.60
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
d + q = 40
a = 1, b = 1, c = 40
Find d, e, f in dx + ey = f
0.1d + 0.25q = 7.60
d = 0.1, e = 0.25, f = 7.60
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 0.25) - (1 * 0.1)
Δ = 0.25 - 0.1
Δ = 0.15
Step 2, calculate the numerator for d
Numerator(d) = c * e - b * f
Numerator(d) = (40 * 0.25) - (1 * 7.60)
Numerator(d) = 10 - 7.6
Numerator(d) = 2.4
Step 3, calculate the numerator for q
Numerator(q) = a * f - c * d
Numerator(q) = (1 * 7.60) - (40 * 0.1)
Numerator(q) = 7.6 - 4
Numerator(q) = 3.6
Evaluate and solve:
d =
Numerator(d)
Δ
d =
2.4
0.15
d = 16
You have 2 free calculationss remaining
q =
Numerator(q)
Δ
q =
3.6
0.15
q = 24
You have 2 free calculationss remaining
What is the Answer?
q = 24
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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