Use the elimination 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.
Step 1: Multiply Equation 1 by 8:
8 * (a+s=175) --> 8a + 8s = 1400
Step 2: Multiply Equation 2 by 1:
1 * (8a+5s=1028) --> 8a + 5s = 1028
Step 3: Equation 1 - Equation 2:
8a + 8s = 1400 - (8a + 5s = 1028)
-(8a + 5s = 1028)
8s - 5s = 1400 - 1028
Step 4: simplify and solve for s:
3s = 372
| s = | 372 |
| 3 |
s = 124
Step 5: Rearrange Equation 1 to solve for a:
1a = 175 - 1s
Divide each side by 1
| 1a | |
| 1 |
| = |
| 175 - 1s |
| 1 |
| a = | 175 - 1s |
| 1 |
Step 6: Plug s = 124 into equation 1:
| a = | 175 - 1(124) |
| 1 |
| a = | 175 - 124 |
| 1 |
| a = | 51 |
| 1 |
a = 51
What is the Answer?
a = 51
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
Many such discoveries of mathematical formulas validate the research efforts of those who came before us. If you want to inspire yourself and those around you, try making your own Custom Enamel Badges of achievement for small accomplishments.
These vivid pin badges can be a constant reminder that numbers aren't exactly cold and that they can always be accompanied by fun and hope.
Tags:
Add This Calculator To Your Website
