Use the elimination method to solve:
x + 2y = 11
2x + y = 34
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 2:
2 * (x+2y=11) --> 2x + 4y = 22
Step 2: Multiply Equation 2 by 1:
1 * (2x+y=34) --> 2x + 1y = 34
Step 3: Equation 1 - Equation 2:
2x + 4y = 22 - (2x + 1y = 34)
-(2x + 1y = 34)
4y - 1y = 22 - 34
Step 4: simplify and solve for y:
3y = -12
| y = | -12 |
| 3 |
y = -4
Step 5: Rearrange Equation 1 to solve for x:
1x = 11 - 2y
Divide each side by 1
| x = | 11 - 2y |
| 1 |
Step 6: Plug y = -4 into equation 1:
| x = | 11 - 2(-4) |
| 1 |
| x = | 11 - -8 |
| 1 |
| x = | 19 |
| 1 |
x = 19
What is the Answer?
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
