Use Cramers Method to solve f t = 34 and 5f 2t = 116
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Use Cramers method to solve:
f + t = 34
5f + 2t = 116
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
f + t = 34
a = 1, b = 1, c = 34
Find d, e, f in dx + ey = f
5f + 2t = 116
d = 5, e = 2, f = 116
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 2) - (1 * 5)
Δ = 2 - 5
Δ = -3
Step 2, calculate the numerator for f
Numerator(f) = c * e - b * f
Numerator(f) = (34 * 2) - (1 * 116)
Numerator(f) = 68 - 116
Numerator(f) = -48
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 116) - (34 * 5)
Numerator(t) = 116 - 170
Numerator(t) = -54
Evaluate and solve:
f =
Numerator(f)
Δ
f =
-48
-3
f = 16
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
-54
-3
t = 18
You have 2 free calculationss remaining
What is the Answer?
t = 18
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
Pick any 3 of the methods to solve the systems of equations
2 equations 2 unknowns This calculator has 2 inputs.
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