Use the elimination method to solve:
10x - 15y = - 70
3x - 5y = 15
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 3:
3 * (10x-15y=-70) --> 30x - 45y = -210
Step 2: Multiply Equation 2 by 10:
10 * (3x-5y=15) --> 30x - 50y = 150
Step 3: Equation 1 - Equation 2:
30x - 45y = -210 - (30x - 50y = 150)
-(30x - 50y = 150)
-45y - -50y = -210 - 150
Step 4: simplify and solve for y:
5y = -360
| y = | -360 |
| 5 |
y = -72
Step 5: Rearrange Equation 1 to solve for x:
10x = -70 - -15y
Divide each side by 10
| 10x | |
| 10 |
| = |
| -70 - -15y |
| 10 |
| x = | -70 - -15y |
| 10 |
Step 6: Plug y = -72 into equation 1:
| x = | -70 - -15(-72) |
| 10 |
| x = | -70 - 1080 |
| 10 |
| x = | -1150 |
| 10 |
x = -115
What is the Answer?
x = -115
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.
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
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