Use Elimination to solve x
Ava Arnold
Published Jan 20, 2026
Use the elimination method to solve:
x - y = - 60
x + y = 90
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 1:
1 * (x-y=-60) --> 1x - 1y = -60
Step 2: Multiply Equation 2 by 1:
1 * (x+y=90) --> 1x + 1y = 90
Step 3: Equation 1 - Equation 2:
1x - 1y = -60 - (1x + 1y = 90)
-(1x + 1y = 90)
-1y - 1y = -60 - 90
Step 4: simplify and solve for y:
-2y = -150
| y = | -150 |
| -2 |
y = 75
Step 5: Rearrange Equation 1 to solve for x:
1x = -60 - -1y
Divide each side by 1
| -60 - -1y |
| 1 |
| x = | -60 - -1y |
| 1 |
Step 6: Plug y = 75 into equation 1:
| x = | -60 - -1(75) |
| 1 |
| x = | -60 - -75 |
| 1 |
| x = | 15 |
| 1 |
x = 15
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
