Use Cramers Method to solve 3d 8i = 64 and 9d 7i = 107
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Use Cramers method to solve:
3d + 8i = 64
9d + 7i = 107
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
3d + 8i = 64
a = 3, b = 8, c = 64
Find d, e, f in dx + ey = f
9d + 7i = 107
d = 9, e = 7, f = 107
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (3 * 7) - (8 * 9)
Δ = 21 - 72
Δ = -51
Step 2, calculate the numerator for d
Numerator(d) = c * e - b * f
Numerator(d) = (64 * 7) - (8 * 107)
Numerator(d) = 448 - 856
Numerator(d) = -408
Step 3, calculate the numerator for i
Numerator(i) = a * f - c * d
Numerator(i) = (3 * 107) - (64 * 9)
Numerator(i) = 321 - 576
Numerator(i) = -255
Evaluate and solve:
d =
Numerator(d)
Δ
d =
-408
-51
d = 8
You have 2 free calculationss remaining
i =
Numerator(i)
Δ
i =
-255
-51
i = 5
You have 2 free calculationss remaining
What is the Answer?
i = 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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