Use the substitution method to solve:
a + s = 175
8a + 5s = 1028
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:
8a + 5s = 1028
Subtract 5s from both sides to isolate a:
8a + 5s - 5s = 1028 - 5s
8a = 1028 - 5s
Now divide by 8:
| 8a | |
| 8 |
| = |
| 1028 - 5s |
| 8 |
Revised Equation 2:
| a = | 1028 - 5s |
| 8 |
Plug Revised Equation 2 value into a:
1(a) + s = 175
1 * ((1028 - 5s)/8) + s = 175
((1028 - 5s)/8) + s = 175
Multiply equation 1 through by 8
8 * (((1028 - 5s)/8) + s = 175)
8 * (((1028 - 5s)/8) + s = 175)
1028 - 5s + 8s = 1400
Group like terms:
-5s + 8s = 1400 - 1028
3s = 372
Divide each side by 3
| 3s | |
| 3 |
| = |
| 372 |
| 3 |
| s = | 372 |
| 3 |
s = 124
Plug this answer into Equation 1
1a + 1(124) = 175
1a + 124 = 175
1a = 175 - 124
1a = 51
Divide each side by 1
| 1a | |
| 1 |
| = |
| 51 |
| 1 |
| a = | 51 |
| 1 |
a = 51
What is the Answer?
a = 51 and s = 124
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
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