Use Cramers Method to solve c + t = 600 and 1.3c + 1.2t = 765
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Use Cramers method to solve:
c + t = 600
1.3c + 1.2t = 765
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 = 600
a = 1, b = 1, c = 600
Find d, e, f in dx + ey = f
1.3c + 1.2t = 765
d = 1.3, e = 1.2, f = 765
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 1.2) - (1 * 1.3)
Δ = 1.2 - 1.3
Δ = -0.1
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (600 * 1.2) - (1 * 765)
Numerator(c) = 720 - 765
Numerator(c) = -45
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 765) - (600 * 1.3)
Numerator(t) = 765 - 780
Numerator(t) = -15
Evaluate and solve:
c =
Numerator(c)
Δ
c =
-45
-0.1
c = 450
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
-15
-0.1
t = 150
You have 2 free calculationss remaining
What is the Answer?
t = 150
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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