Use the substitution method to solve:
c + s = 300
3c + 1.5s = 825
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:
3c + 1.5s = 825
Subtract 1.5s from both sides to isolate c:
3c + 1.5s - 1.5s = 825 - 1.5s
3c = 825 - 1.5s
Now divide by 3:
| 3c | |
| 3 |
| = |
| 825 - 1.5s |
| 3 |
Revised Equation 2:
| c = | 825 - 1.5s |
| 3 |
Plug Revised Equation 2 value into c:
1(c) + s = 300
1 * ((825 - 1.5s)/3) + s = 300
((825 - 1.5s)/3) + s = 300
Multiply equation 1 through by 3
3 * (((825 - 1.5s)/3) + s = 300)
3 * (((825 - 1.5s)/3) + s = 300)
825 - 1.5s + 3s = 900
Group like terms:
-1.5s + 3s = 900 - 825
1.5s = 75
Divide each side by 1.5
| 1.5s | |
| 1.5 |
| = |
| 75 |
| 1.5 |
| s = | 75 |
| 1.5 |
s = 50
Plug this answer into Equation 1
1c + 1(50) = 300
1c + 50 = 300
1c = 300 - 50
1c = 250
Divide each side by 1
| 1c | |
| 1 |
| = |
| 250 |
| 1 |
| c = | 250 |
| 1 |
c = 250
What is the Answer?
c = 250 and s = 50
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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