Use Cramers Method to solve x + y = 23000 and 0.08x + 0.04y = 1560
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 numberSimultaneous Equations Calculator Video
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