Use Cramers Method to solve c + t = 30 and 8c + 12t = 268
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Use Cramers method to solve:
c + t = 30
8c + 12t = 268
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
c + t = 30
a = 1, b = 1, c = 30
Find d, e, f in dx + ey = f
8c + 12t = 268
d = 8, e = 12, f = 268
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 12) - (1 * 8)
Δ = 12 - 8
Δ = 4
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (30 * 12) - (1 * 268)
Numerator(c) = 360 - 268
Numerator(c) = 92
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 268) - (30 * 8)
Numerator(t) = 268 - 240
Numerator(t) = 28
Evaluate and solve:
c =
Numerator(c)
Δ
c =
92
4
c = 23
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
28
4
t = 7
You have 2 free calculationss remaining
What is the Answer?
t = 7
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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