Use Cramers Method to solve 0.1d + 0.25q = 2.25 and d + q = 12
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Use Cramers method to solve:
0.1d + 0.25q = 2.25
d + q = 12
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
0.1d + 0.25q = 2.25
a = 0.1, b = 0.25, c = 2.25
Find d, e, f in dx + ey = f
d + q = 12
d = 1, e = 1, f = 12
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (0.1 * 1) - (0.25 * 1)
Δ = 0.1 - 0.25
Δ = -0.15
Step 2, calculate the numerator for d
Numerator(d) = c * e - b * f
Numerator(d) = (2.25 * 1) - (0.25 * 12)
Numerator(d) = 2.25 - 3
Numerator(d) = -0.75
Step 3, calculate the numerator for q
Numerator(q) = a * f - c * d
Numerator(q) = (0.1 * 12) - (2.25 * 1)
Numerator(q) = 1.2 - 2.25
Numerator(q) = -1.05
Evaluate and solve:
d =
Numerator(d)
Δ
d =
-0.75
-0.15
d = 5
You have 2 free calculationss remaining
q =
Numerator(q)
Δ
q =
-1.05
-0.15
q = 7
You have 2 free calculationss remaining
What is the Answer?
q = 7
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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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