Use Cramers Method to solve m + t = 38 and 5m + 2t = 100
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Use Cramers method to solve:
m + t = 38
5m + 2t = 100
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
m + t = 38
a = 1, b = 1, c = 38
Find d, e, f in dx + ey = f
5m + 2t = 100
d = 5, e = 2, f = 100
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 m
Numerator(m) = c * e - b * f
Numerator(m) = (38 * 2) - (1 * 100)
Numerator(m) = 76 - 100
Numerator(m) = -24
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 100) - (38 * 5)
Numerator(t) = 100 - 190
Numerator(t) = -90
Evaluate and solve:
m =
Numerator(m)
Δ
m =
-24
-3
m = 8
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
-90
-3
t = 30
You have 2 free calculationss remaining
What is the Answer?
t = 30
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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