Use Elimination to solve c + v = 40 and 4c + 6v = 180
Crop Image
Use the elimination method to solve:
c + v = 40
4c + 6v = 180
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 4:
4 * (c+v=40) --> 4c + 4v = 160
Step 2: Multiply Equation 2 by 1:
1 * (4c+6v=180) --> 4c + 6v = 180
Step 3: Equation 1 - Equation 2:
4c + 4v = 160 - (4c + 6v = 180) -(4c + 6v = 180)
4v - 6v = 160 - 180
Step 4: simplify and solve for v:
-2v = -20
v =
-20
-2
v = 10
Step 5: Rearrange Equation 1 to solve for c:
1c = 40 - 1v
Divide each side by 1
1c
1
=
40 - 1v
1
c =
40 - 1v
1
Step 6: Plug v = 10 into equation 1:
c =
40 - 1(10)
1
c =
40 - 10
1
c =
30
1
c = 30
What is the Answer?
c = 30
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.
What 1 formula is used for the Simultaneous Equations Calculator?