Use the substitution method to solve:
90A + 20B = 13000
270A + 30B = 33000
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for a:
270a + 30b = 33000
Subtract 30b from both sides to isolate a:
270a + 30b - 30b = 33000 - 30b
270a = 33000 - 30b
Now divide by 270:
| 270a | |
| 270 |
| = |
| 33000 - 30b |
| 270 |
Revised Equation 2:
| a = | 33000 - 30b |
| 270 |
Plug Revised Equation 2 value into a:
90(a) + 20b = 13000
90 * ((33000 - 30b)/270) + 20b = 13000
((2970000 - 2700b)/270) + 20b = 13000
Multiply equation 1 through by 270
270 * (((2970000 - 2700b)/270) + 20b = 13000)
270 * (((2970000 - 2700b)/270) + 20b = 13000)
2970000 - 2700b + 5400b = 3510000
Group like terms:
-2700b + 5400b = 3510000 - 2970000
2700b = 540000
Divide each side by 2700
| 2700b | |
| 2700 |
| = |
| 540000 |
| 2700 |
| b = | 540000 |
| 2700 |
b = 200
Plug this answer into Equation 1
90a + 20(200) = 13000
90a + 4000 = 13000
90a = 13000 - 4000
90a = 9000
Divide each side by 90
| 90a | |
| 90 |
| = |
| 9000 |
| 90 |
| a = | 9000 |
| 90 |
a = 100
What is the Answer?
a = 100 and b = 200
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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