Use the substitution 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.
Rearrange Equation 2 to solve for x:
3x - 5y = 15
Add 5y to both sides to isolate x
3x - 5y + 5y = 15 + 5y
3x = 15 + 5y
Now divide both sides by 3:
Revised Equation 2:
| x = | 15 + 5y |
| 3 |
Plug Revised Equation 2 value into x:
10(x) - 15y = -70
10 * ((15 + 5y)/3) - 15y = -70
((150 + 50y)/3) - 15y = -70
Multiply equation 1 through by 3
3 * (((150 + 50y)/3) - 15y = -70)
3 * (((150 + 50y)/3) - 15y = -70)
150 + 50y - 45y = -210
Group like terms:
50y - 45y = -210 - 150
5y = -360
Divide each side by 5
| y = | -360 |
| 5 |
y = -72
Plug this answer into Equation 1
10x - 15(-72) = -70
10x + 1080 = -70
10x = -70 - 1080
10x = -1150
Divide each side by 10
| x = | -1150 |
| 10 |
x = -115
What is the Answer?
x = -115 and y = -72
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
