Use Elimination to solve 5a - 2b = 23 and 1a
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 Method
3) Cramers Method or Cramers Rule Pick any 3 of the methods to solve the systems of equations 2 equations 2 unknowns
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What 1 formula is used for the Simultaneous Equations Calculator?
What 7 concepts are covered in the Simultaneous Equations Calculator?
cramers rulean explicit formula for the solution of a system of linear equations with as many equations as unknownseliminateto remove, to get rid of or put an end toequationa statement declaring two mathematical expressions are equalsimultaneous equations two or more algebraic equations that share variablessubstituteto put in the place of another. To replace one value with anotherunknowna number or value we do not knowvariableAlphabetic character representing a numberSimultaneous Equations Calculator Video
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