Use the elimination method to solve:
5c + 3t = 37
2c + 6t = 64
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 2:
2 * (5c+3t=37) --> 10c + 6t = 74
Step 2: Multiply Equation 2 by 5:
5 * (2c+6t=64) --> 10c + 30t = 320
Step 3: Equation 1 - Equation 2:
10c + 6t = 74 - (10c + 30t = 320)
-(10c + 30t = 320)
6t - 30t = 74 - 320
Step 4: simplify and solve for t:
-24t = -246
| t = | -246 |
| -24 |
t = 10.25
Step 5: Rearrange Equation 1 to solve for c:
5c = 37 - 3t
Divide each side by 5
| 5c | |
| 5 |
| = |
| 37 - 3t |
| 5 |
| c = | 37 - 3t |
| 5 |
Step 6: Plug t = 10.25 into equation 1:
| c = | 37 - 3(10.25) |
| 5 |
| c = | 37 - 30.75 |
| 5 |
| c = | 6.25 |
| 5 |
c = 1.25
What is the Answer?
c = 1.25
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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