Use Substitution to solve 2x
Sophia Carter
Published Jan 20, 2026
Use the substitution method to solve:
2x - 4y = 6
x + y = 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 + y = 8
Subtract y from both sides to isolate x:
x + y - y = 8 - y
x = 8 - y
Plug Revised Equation 2 value into x:
2(x) - 4y = 6
2 * (8 - y) - 4y = 6
16 - 2y - 4y = 6
Group like terms:
-2y - 4y = 6 - 16
-6y = -10
Divide each side by -6
| y = | -10 |
| -6 |
y = 1.6666666666667
Plug this answer into Equation 1
2x - 4(1.6666666666667) = 6
2x - 6.6666666666667 = 6
2x = 6 - -6.6666666666667
2x = 12.666666666667
Divide each side by 2
| 12.666666666667 |
| 2 |
| x = | 12.666666666667 |
| 2 |
x = 6.3333333333333
What is the Answer?
x = 6.3333333333333 and y = 1.6666666666667
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
