Use Cramers Method to solve 3a + 4c = 136 and 2a + 3c = 97

Use Cramers method to solve:

3a + 4c = 136
2a + 3c = 97

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

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

3a + 4c = 136
a = 3, b = 4, c = 136

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

2a + 3c = 97
d = 2, e = 3, f = 97

Step 1, calculate Delta (Δ):

Δ = a * e - b * d
Δ = (3 * 3) - (4 * 2)
Δ = 9 - 8
Δ = 1

Step 2, calculate the numerator for a

Numerator(a) = c * e - b * f
Numerator(a) = (136 * 3) - (4 * 97)
Numerator(a) = 408 - 388
Numerator(a) = 20

Step 3, calculate the numerator for c

Numerator(c) = a * f - c * d
Numerator(c) = (3 * 97) - (136 * 2)
Numerator(c) = 291 - 272
Numerator(c) = 19

Evaluate and solve:

a =	Numerator(a)
	Δ

a =	20
	1

c =	Numerator(c)
	Δ

c =	19
	1

Solve using Gauss Jordan Elimination

What is the Answer?

c = 19

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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