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Use Cramers Method to solve l + s = 125 and 3s + 5l = 475

Enter Simultaneous Equations:

<-- Equation 1
<-- Equation 2


 

Use Cramers method to solve:

l + s = 125
3s + 5l = 475

Equation 1 is in the correct format.
Equation 2 is in the correct format.

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






s  =  Numerator(s)
  Δ

s  =  -150
  -2












Solve using Gauss Jordan Elimination


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 Pick any 3 of the methods to solve the systems of equations 2 equations 2 unknowns
This calculator has 2 inputs.

What 1 formula is used for the Simultaneous Equations Calculator?

  1. Δ = a * e - b * d

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Simultaneous Equations Calculator?

cramers rule
an explicit formula for the solution of a system of linear equations with as many equations as unknowns
eliminate
to remove, to get rid of or put an end to
equation
a statement declaring two mathematical expressions are equal
simultaneous equations
two or more algebraic equations that share variables
substitute
to put in the place of another. To replace one value with another
unknown
a number or value we do not know
variable
Alphabetic character representing a number

Simultaneous Equations Calculator Video


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