Use Cramers method to solve:
m + t = 38
5m + 2t = 100
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
m + t = 38
a = 1, b = 1, c = 38
Find d, e, f in dx + ey = f
5m + 2t = 100
d = 5, e = 2, f = 100
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 2) - (1 * 5)
Δ = 2 - 5
Δ = -3
Step 2, calculate the numerator for m
Numerator(m) = c * e - b * f
Numerator(m) = (38 * 2) - (1 * 100)
Numerator(m) = 76 - 100
Numerator(m) = -24
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (1 * 100) - (38 * 5)
Numerator(t) = 100 - 190
Numerator(t) = -90
Evaluate and solve:
| m = | Numerator(m) | |
| Δ |
| m = | -24 | |
| -3 |
m = 8
You have 1 free calculations remaining
| t = | Numerator(t) | |
| Δ |
| t = | -90 | |
| -3 |
t = 30
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 Method3) Cramers Method or Cramers Rule Pick any 3 of the methods to solve the systems of equations 2 equations 2 unknownsThis 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
