Use the elimination method to solve:
10v + 6b = 276
5v + 2b = 117
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 5:
5 * (10v+6b=276) --> 50v + 30b = 1380
Step 2: Multiply Equation 2 by 10:
10 * (5v+2b=117) --> 50v + 20b = 1170
Step 3: Equation 1 - Equation 2:
50v + 30b = 1380 - (50v + 20b = 1170)
-(50v + 20b = 1170)
30b - 20b = 1380 - 1170
Step 4: simplify and solve for b:
10b = 210
| b = | 210 |
| 10 |
b = 21
Step 5: Rearrange Equation 1 to solve for v:
10v = 276 - 6b
Divide each side by 10
| 10v | |
| 10 |
| = |
| 276 - 6b |
| 10 |
| v = | 276 - 6b |
| 10 |
Step 6: Plug b = 21 into equation 1:
| v = | 276 - 6(21) |
| 10 |
| v = | 276 - 126 |
| 10 |
| v = | 150 |
| 10 |
v = 15
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?
v = 15
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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