Use the substitution method to solve:
2x + 4y = 1
3x - 5y = 7
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:
3x - 5y = 7
Add 5y to both sides to isolate x
3x - 5y + 5y = 7 + 5y
3x = 7 + 5y
Now divide both sides by 3:
Revised Equation 2:
| x = | 7 + 5y |
| 3 |
Plug Revised Equation 2 value into x:
2(x) + 4y = 1
2 * ((7 + 5y)/3) + 4y = 1
((14 + 10y)/3) + 4y = 1
Multiply equation 1 through by 3
3 * (((14 + 10y)/3) + 4y = 1)
3 * (((14 + 10y)/3) + 4y = 1)
14 + 10y + 12y = 3
Group like terms:
10y + 12y = 3 - 14
22y = -11
Divide each side by 22
| y = | -11 |
| 22 |
y = -0.5
Plug this answer into Equation 1
2x + 4(-0.5) = 1
2x - 2 = 1
2x = 1 - -2
2x = 3
Divide each side by 2
| x = | 3 |
| 2 |
x = 1.5
What is the Answer?
x = 1.5 and y = -0.5
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
