Use the substitution method to solve:
x + y = 5
5y + 4x = 37
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for x:
4x + 5y = 37
Subtract 5y from both sides to isolate x:
4x + 5y - 5y = 37 - 5y
4x = 37 - 5y
Now divide by 4:
| 4x | |
| 4 |
| = |
| 37 - 5y |
| 4 |
Revised Equation 2:
| x = | 37 - 5y |
| 4 |
Plug Revised Equation 2 value into x:
1(x) + y = 5
1 * ((37 - 5y)/4) + y = 5
((37 - 5y)/4) + y = 5
Multiply equation 1 through by 4
4 * (((37 - 5y)/4) + y = 5)
4 * (((37 - 5y)/4) + y = 5)
37 - 5y + 4y = 20
Group like terms:
-5y + 4y = 20 - 37
-1y = -17
Divide each side by -1
| -1y | |
| -1 |
| = |
| -17 |
| -1 |
| y = | -17 |
| -1 |
y = 17
Plug this answer into Equation 1
1x + 1(17) = 5
1x + 17 = 5
1x = 5 - 17
1x = -12
Divide each side by 1
| 1x | |
| 1 |
| = |
| -12 |
| 1 |
| x = | -12 |
| 1 |
x = -12
What is the Answer?
x = -12 and y = 17
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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