Use Cramers Method to solve a+c=459 and 53a + 16c = 13930

Use Cramers method to solve:

a + c = 459
53a + 16c = 13930

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

Find a, b, c in ax + by = c

a + c = 459
a = 1, b = 1, c = 459

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

53a + 16c = 13930
d = 53, e = 16, f = 13930

Step 1, calculate Delta (Δ):

Δ = a * e - b * d
Δ = (1 * 16) - (1 * 53)
Δ = 16 - 53
Δ = -37

Step 2, calculate the numerator for a

Numerator(a) = c * e - b * f
Numerator(a) = (459 * 16) - (1 * 13930)
Numerator(a) = 7344 - 13930
Numerator(a) = -6586

Step 3, calculate the numerator for c

Numerator(c) = a * f - c * d
Numerator(c) = (1 * 13930) - (459 * 53)
Numerator(c) = 13930 - 24327
Numerator(c) = -10397

Evaluate and solve:

a =	Numerator(a)
	Δ

a =	-6586
	-37

c =	Numerator(c)
	Δ

c =	-10397
	-37

Solve using Gauss Jordan Elimination

What is the Answer?

c = 281

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?

Δ = a * e - b * d

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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

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