Use the elimination method to solve:
5a - 2b = 23
1a - 5b = 23
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 1:
1 * (5a-2b=23) --> 5a - 2b = 23
Step 2: Multiply Equation 2 by 5:
5 * (1a-5b=23) --> 5a - 25b = 115
Step 3: Equation 1 - Equation 2:
5a - 2b = 23 - (5a - 25b = 115)-(5a - 25b = 115)
-2b - -25b = 23 - 115
Step 4: simplify and solve for b:
23b = -92
| b = | -92 |
| 23 |
b = -4
Step 5: Rearrange Equation 1 to solve for a:
5a = 23 - -2b
Divide each side by 5
| a = | 23 - -2b |
| 5 |
Step 6: Plug b = -4 into equation 1:
| a = | 23 - -2(-4) |
| 5 |
| a = | 23 - 8 |
| 5 |
| a = | 15 |
| 5 |
a = 3
What is the Answer?
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 Method3) Cramers Method or Cramers Rule Pick any 3 of the methods to solve the systems of equations 2 equations 2 unknownsThis 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
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