Use the substitution method to solve:
0.08x + 0.2y = 54
x + y = 450
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:
x + y = 450
Subtract y from both sides to isolate x:
x + y - y = 450 - y
x = 450 - y
Plug Revised Equation 2 value into x:
0.08(x) + 0.2y = 54
0.08 * (450 - y) + 0.2y = 54
36 - 0.08y + 0.2y = 54
Group like terms:
-0.08y + 0.2y = 54 - 36
0.12y = 18
Divide each side by 0.12
| y = | 18 |
| 0.12 |
y = 150
Plug this answer into Equation 1
0.08x + 0.2(150) = 54
0.08x + 30 = 54
0.08x = 54 - 30
0.08x = 24
Divide each side by 0.08
| x = | 24 |
| 0.08 |
x = 300
What is the Answer?
x = 300 and y = 150
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
