Use Cramers Method to solve l + t = 12 and 3l + 2t = 32
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Use Cramers method to solve:
l + t = 12
3l + 2t = 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
l + t = 12
a = 1, b = 1, c = 12
Find d, e, f in dx + ey = f
3l + 2t = 32
d = 3, e = 2, f = 32
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 2) - (1 * 3)
Δ = 2 - 3
Δ = -1
Step 2, calculate the numerator for l
Numerator(l) = c * e - b * f
Numerator(l) = (12 * 2) - (1 * 32)
Numerator(l) = 24 - 32
Numerator(l) = -8
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 32) - (12 * 3)
Numerator(t) = 32 - 36
Numerator(t) = -4
Evaluate and solve:
l =
Numerator(l)
Δ
l =
-8
-1
l = 8
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
-4
-1
t = 4
You have 2 free calculationss remaining
What is the Answer?
t = 4
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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