Use the elimination method to solve:
c + s = 300
3c + 1.5s = 825
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 3:
3 * (c+s=300) --> 3c + 3s = 900
Step 2: Multiply Equation 2 by 1:
1 * (3c+1.5s=825) --> 3c + 1.5s = 825
Step 3: Equation 1 - Equation 2:
3c + 3s = 900 - (3c + 1.5s = 825)
-(3c + 1.5s = 825)
3s - 1.5s = 900 - 825
Step 4: simplify and solve for s:
1.5s = 75
| s = | 75 |
| 1.5 |
s = 50
Step 5: Rearrange Equation 1 to solve for c:
1c = 300 - 1s
Divide each side by 1
| 1c | |
| 1 |
| = |
| 300 - 1s |
| 1 |
| c = | 300 - 1s |
| 1 |
Step 6: Plug s = 50 into equation 1:
| c = | 300 - 1(50) |
| 1 |
| c = | 300 - 50 |
| 1 |
| c = | 250 |
| 1 |
c = 250
Test Your Knowledge?
- What are the 3 methods to solve a system of 2 equations?
- With the elimination method, what are you trying to eliminate?
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.8.EE.C.8,CCSS.MATH.CONTENT.8.EE.C.8.B
What is the Answer?
c = 250
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?
Δ = a * e - b * d
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
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