Use Cramers Method to solve n + q = 52 and 0.05n + 0.25q = 6.20

Use Cramers method to solve:

n + q = 52

0.05n + 0.25q = 6.20

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

n + q = 52

a = 1, b = 1, c = 52

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

0.05n + 0.25q = 6.20

d = 0.05, e = 0.25, f = 6.20

Step 1, calculate Delta (Δ):

Δ = a * e - b * d

Δ = (1 * 0.25) - (1 * 0.05)

Δ = 0.25 - 0.05

Δ = 0.2

Step 2, calculate the numerator for n

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

Numerator(n) = (52 * 0.25) - (1 * 6.20)

Numerator(n) = 13 - 6.2

Numerator(n) = 6.8

Step 3, calculate the numerator for q

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

Numerator(q) = (1 * 6.20) - (52 * 0.05)

Numerator(q) = 6.2 - 2.6

Numerator(q) = 3.6

Evaluate and solve:

n  =	Numerator(n)
	Δ

n  =	6.8
	0.2

n = 34

You have 1 free calculations remaining

q  =	Numerator(q)
	Δ

q  =	3.6
	0.2

q = 18

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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