Use Cramers method to solve:
12c + 8t = 34
10c + 7t = 29
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
12c + 8t = 34
a = 12, b = 8, c = 34
Find d, e, f in dx + ey = f
10c + 7t = 29
d = 10, e = 7, f = 29
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (12 * 7) - (8 * 10)
Δ = 84 - 80
Δ = 4
Step 2, calculate the numerator for c
Numerator(c) = c * e - b * f
Numerator(c) = (34 * 7) - (8 * 29)
Numerator(c) = 238 - 232
Numerator(c) = 6
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (12 * 29) - (34 * 10)
Numerator(t) = 348 - 340
Numerator(t) = 8
Evaluate and solve:
| c = | Numerator(c) |
| Δ |
| c = | 6 |
| 4 |
c = 1.5
You have 1 free calculations remaining
| t = | Numerator(t) |
| Δ |
| t = | 8 |
| 4 |
t = 2
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
