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
What is the Answer?
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?
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
