Use Cramers Method to solve m + w = 950 and 0.85m + 0.90w = 834

Use Cramers method to solve:

m + w = 950
0.85m + 0.90w = 834

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

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

m + w = 950
a = 1, b = 1, c = 950

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

0.85m + 0.90w = 834
d = 0.85, e = 0.90, f = 834

Step 1, calculate Delta (Δ):

Δ = a * e - b * d
Δ = (1 * 0.90) - (1 * 0.85)
Δ = 0.9 - 0.85
Δ = 0.05

Step 2, calculate the numerator for m

Numerator(m) = c * e - b * f
Numerator(m) = (950 * 0.90) - (1 * 834)
Numerator(m) = 855 - 834
Numerator(m) = 21

Step 3, calculate the numerator for w

Numerator(w) = a * f - c * d
Numerator(w) = (1 * 834) - (950 * 0.85)
Numerator(w) = 834 - 807.5
Numerator(w) = 26.5

Evaluate and solve:

m =	Numerator(m)
	Δ

m =	21
	0.05

w =	Numerator(w)
	Δ

w =	26.5
	0.05

Solve using Gauss Jordan Elimination

What is the Answer?

w = 530

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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