Use Cramers Method to solve l + s = 125 and 3s + 5l = 475
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Use Cramers method to solve:
l + s = 125
3s + 5l = 475
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 + s = 125
a = 1, b = 1, c = 125
Find d, e, f in dx + ey = f
3s + 5l = 475
d = 5, e = 3, f = 475
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 3) - (1 * 5)
Δ = 3 - 5
Δ = -2
Step 2, calculate the numerator for l
Numerator(l) = c * e - b * f
Numerator(l) = (125 * 3) - (1 * 475)
Numerator(l) = 375 - 475
Numerator(l) = -100
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 475) - (125 * 5)
Numerator(s) = 475 - 625
Numerator(s) = -150
Evaluate and solve:
l =
Numerator(l)
Δ
l =
-100
-2
l = 50
You have 2 free calculationss remaining
s =
Numerator(s)
Δ
s =
-150
-2
s = 75
You have 2 free calculationss remaining
What is the Answer?
s = 75
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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