Use the substitution method to solve:
c + t = 30
8c + 12t = 268
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for c:
8c + 12t = 268
Subtract 12t from both sides to isolate c:
8c + 12t - 12t = 268 - 12t
8c = 268 - 12t
Now divide by 8:
| 268 - 12t |
| 8 |
Revised Equation 2:
| c = | 268 - 12t |
| 8 |
Plug Revised Equation 2 value into c:
1(c) + t = 30
1 * ((268 - 12t)/8) + t = 30
((268 - 12t)/8) + t = 30
Multiply equation 1 through by 8
8 * (((268 - 12t)/8) + t = 30)
8 * (((268 - 12t)/8) + t = 30)
268 - 12t + 8t = 240
Group like terms:
-12t + 8t = 240 - 268
-4t = -28
Divide each side by -4
| t = | -28 |
| -4 |
t = 7
Plug this answer into Equation 1
1c + 1(7) = 30
1c + 7 = 30
1c = 30 - 7
1c = 23
Divide each side by 1
| c = | 23 |
| 1 |
c = 23
What is the Answer?
c = 23 and t = 7
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
