Use Cramers Method to solve 0.10d + 0.25q = 11.60 and d - q = 32
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Use Cramers method to solve:
0.10d + 0.25q = 11.60
d - q = 32
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
0.10d + 0.25q = 11.60
a = 0.10, b = 0.25, c = 11.60
Find d, e, f in dx + ey = f
d - q = 32
d = 1, e = -1, f = 32
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (0.10 * -1) - (0.25 * 1)
Δ = -0.1 - 0.25
Δ = -0.35
Step 2, calculate the numerator for d
Numerator(d) = c * e - b * f
Numerator(d) = (11.60 * -1) - (0.25 * 32)
Numerator(d) = -11.6 - 8
Numerator(d) = -19.6
Step 3, calculate the numerator for q
Numerator(q) = a * f - c * d
Numerator(q) = (0.10 * 32) - (11.60 * 1)
Numerator(q) = 3.2 - 11.6
Numerator(q) = -8.4
Evaluate and solve:
d =
Numerator(d)
Δ
d =
-19.6
-0.35
d = 56
You have 2 free calculationss remaining
q =
Numerator(q)
Δ
q =
-8.4
-0.35
q = 24
You have 2 free calculationss remaining
What is the Answer?
q = 24
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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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