Use the elimination method to solve:
a + c = 327
4a + 1.50c = 978
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 4:
4 * (a+c=327) --> 4a + 4c = 1308
Step 2: Multiply Equation 2 by 1:
1 * (4a+1.50c=978) --> 4a + 1.5c = 978
Step 3: Equation 1 - Equation 2:
4a + 4c = 1308 - (4a + 1.5c = 978)
-(4a + 1.5c = 978)
4c - 1.5c = 1308 - 978
Step 4: simplify and solve for c:
2.5c = 330
| c = | 330 |
| 2.5 |
c = 132
Step 5: Rearrange Equation 1 to solve for a:
1a = 327 - 1c
Divide each side by 1
| a = | 327 - 1c |
| 1 |
Step 6: Plug c = 132 into equation 1:
| a = | 327 - 1(132) |
| 1 |
| a = | 327 - 132 |
| 1 |
| a = | 195 |
| 1 |
a = 195
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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