Use Cramers Method to solve x + y = 23000 and 0.08x + 0.04y = 1560

Use Cramers Method to solve x + y = 23000 and 0.08x + 0.04y = 1560 MathCelebrity logo Image to Crop
Use Cramers method to solve:

x + y = 23000

0.08x + 0.04y = 1560

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

x + y = 23000

a = 1, b = 1, c = 23000

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

0.08x + 0.04y = 1560

d = 0.08, e = 0.04, f = 1560

Step 1, calculate Delta (Δ):

Δ = a * e - b * d

Δ = (1 * 0.04) - (1 * 0.08)

Δ = 0.04 - 0.08

Δ = -0.04

Step 2, calculate the numerator for x

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

Numerator(x) = (23000 * 0.04) - (1 * 1560)

Numerator(x) = 920 - 1560

Numerator(x) = -640

Step 3, calculate the numerator for y

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

Numerator(y) = (1 * 1560) - (23000 * 0.08)

Numerator(y) = 1560 - 1840

Numerator(y) = -280

Evaluate and solve:
x  =  Numerator(x)
  Δ
x  =  -640
  -0.04

x = 16000

You have 1 free calculations remaining


y  =  Numerator(y)
  Δ
y  =  -280
  -0.04

y = 7000

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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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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