Use the substitution method to solve:
3p + 4s = 40
5p + 6s = 62
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for p:
5p + 6s = 62
Subtract 6s from both sides to isolate p:
5p + 6s - 6s = 62 - 6s
5p = 62 - 6s
Now divide by 5:
Revised Equation 2:
| p = | 62 - 6s |
| 5 |
Plug Revised Equation 2 value into p:
3(p) + 4s = 40
3 * ((62 - 6s)/5) + 4s = 40
((186 - 18s)/5) + 4s = 40
Multiply equation 1 through by 5
5 * (((186 - 18s)/5) + 4s = 40)
5 * (((186 - 18s)/5) + 4s = 40)
186 - 18s + 20s = 200
Group like terms:
-18s + 20s = 200 - 186
2s = 14
Divide each side by 2
| s = | 14 |
| 2 |
s = 7
Plug this answer into Equation 1
3p + 4(7) = 40
3p + 28 = 40
3p = 40 - 28
3p = 12
Divide each side by 3
| p = | 12 |
| 3 |
p = 4
What is the Answer?
p = 4 and s = 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
