Use the substitution method to solve:
5x - 4y = 19
x + 2y = 8
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:
x + 2y = 8
Subtract 2y from both sides to isolate x:
x + 2y - 2y = 8 - 2y
x = 8 - 2y
Now divide by 1:
Revised Equation 2:
| x = | 8 - 2y |
| 1 |
Plug Revised Equation 2 value into x:
5(x) - 4y = 19
5 * ((8 - 2y)/1) - 4y = 19
40 - 10y - 4y = 19
Group like terms:
-10y - 4y = 19 - 40
-14y = -21
Divide each side by -14
| y = | -21 |
| -14 |
y = 1.5
Plug this answer into Equation 1
5x - 4(1.5) = 19
5x - 6 = 19
5x = 19 - -6
5x = 25
Divide each side by 5
| x = | 25 |
| 5 |
x = 5
What is the Answer?
x = 5 and y = 1.5
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 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
