Use Cramers method to solve:
2m + 3s = 24.3
3m + 4s = 35
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
2m + 3s = 24.3
a = 2, b = 3, c = 24.3
Find d, e, f in dx + ey = f
3m + 4s = 35
d = 3, e = 4, f = 35
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (2 * 4) - (3 * 3)
Δ = 8 - 9
Δ = -1
Step 2, calculate the numerator for m
Numerator(m) = c * e - b * f
Numerator(m) = (24.3 * 4) - (3 * 35)
Numerator(m) = 97.2 - 105
Numerator(m) = -7.8
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (2 * 35) - (24.3 * 3)
Numerator(s) = 70 - 72.9
Numerator(s) = -2.9
Evaluate and solve:
| m = | Numerator(m) | |
| Δ |
| m = | -7.8 | |
| -1 |
m = 7.8
You have 2 free calculationss remaining
| s = | Numerator(s) | |
| Δ |
| s = | -2.9 | |
| -1 |
s = 2.9
You have 2 free calculationss remaining
What is the Answer?
s = 2.9
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.
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
Simultaneous Equations Calculator Video
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