Use the substitution method to solve:
30a + 30s = 750
27a + 28s = 682
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for a:
27a + 28s = 682
Subtract 28s from both sides to isolate a:
27a + 28s - 28s = 682 - 28s
27a = 682 - 28s
Now divide by 27:
| 27a | |
| 27 |
| = |
| 682 - 28s |
| 27 |
Revised Equation 2:
| a = | 682 - 28s |
| 27 |
Plug Revised Equation 2 value into a:
30(a) + 30s = 750
30 * ((682 - 28s)/27) + 30s = 750
((20460 - 840s)/27) + 30s = 750
Multiply equation 1 through by 27
27 * (((20460 - 840s)/27) + 30s = 750)
27 * (((20460 - 840s)/27) + 30s = 750)
20460 - 840s + 810s = 20250
Group like terms:
-840s + 810s = 20250 - 20460
-30s = -210
Divide each side by -30
| -30s | |
| -30 |
| = |
| -210 |
| -30 |
| s = | -210 |
| -30 |
s = 7
Plug this answer into Equation 1
30a + 30(7) = 750
30a + 210 = 750
30a = 750 - 210
30a = 540
Divide each side by 30
| 30a | |
| 30 |
| = |
| 540 |
| 30 |
| a = | 540 |
| 30 |
a = 18
What is the Answer?
a = 18 and s = 7
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
Simultaneous Equations Calculator Video
Tags:
Add This Calculator To Your Website
