Use Cramers Method to solve 10c + 3s = 82 and 5c + 8s = 67 MathCelebrity logo Image to Crop
Use Cramers method to solve:

10c + 3s = 82

5c + 8s = 67

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

10c + 3s = 82

a = 10, b = 3, c = 82

Find d, e, f in dx + ey = f

5c + 8s = 67

d = 5, e = 8, f = 67

Step 1, calculate Delta (Δ):

Δ = a * e - b * d

Δ = (10 * 8) - (3 * 5)

Δ = 80 - 15

Δ = 65

Step 2, calculate the numerator for c

Numerator(c) = c * e - b * f

Numerator(c) = (82 * 8) - (3 * 67)

Numerator(c) = 656 - 201

Numerator(c) = 455

Step 3, calculate the numerator for s

Numerator(s) = a * f - c * d

Numerator(s) = (10 * 67) - (82 * 5)

Numerator(s) = 670 - 410

Numerator(s) = 260

Evaluate and solve:
c  =  Numerator(c)
  Δ
c  =  455
  65

c = 7

You have 1 free calculations remaining


s  =  Numerator(s)
  Δ
s  =  260
  65

s = 4

You have used up your free calculations


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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
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What 7 concepts are covered in the Simultaneous Equations Calculator?

cramers rulean explicit formula for the solution of a system of linear equations with as many equations as unknownseliminateto remove, to get rid of or put an end toequationa statement declaring two mathematical expressions are equalsimultaneous equations two or more algebraic equations that share variablessubstituteto put in the place of another. To replace one value with anotherunknowna number or value we do not knowvariableAlphabetic character representing a number

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