Use the substitution method to solve:
1c + 2p = 12.40
2c + 3p = 20.20
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for c:
2c + 3p = 20.20
Subtract 3p from both sides to isolate c:
2c + 3p - 3p = 20.20 - 3p
2c = 20.20 - 3p
Now divide by 2:
| 20.20 - 3p |
| 2 |
Revised Equation 2:
| c = | 20.20 - 3p |
| 2 |
Plug Revised Equation 2 value into c:
1(c) + 2p = 12.40
1 * ((20.20 - 3p)/2) + 2p = 12.40
((20.2 - 3p)/2) + 2p = 12.40
Multiply equation 1 through by 2
2 * (((20.2 - 3p)/2) + 2p = 12.40)
2 * (((20.2 - 3p)/2) + 2p = 12.40)
20.2 - 3p + 4p = 24.8
Group like terms:
-3p + 4p = 24.8 - 20.2
1p = 4.6
Divide each side by 1
| p = | 4.6 |
| 1 |
p = 4.6
Plug this answer into Equation 1
1c + 2(4.6) = 12.40
1c + 9.2 = 12.40
1c = 12.40 - 9.2
1c = 3.2
Divide each side by 1
| c = | 3.2 |
| 1 |
c = 3.2
What is the Answer?
c = 3.2 and p = 4.6
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 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 numberMath is always fascinating! Have you noticed? On the path to discovering the ultimate mysteries of math, we move forward with small steps.Many such discoveries of mathematical formulas validate the research efforts of those who came before us. If you want to inspire yourself and those around you, try making your own Custom Enamel Badges of achievement for small accomplishments.
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