Use Elimination to solve f t = 15 and 5f 20t = 180
Crop Image
Use the elimination method to solve:
f + t = 15
5f + 20t = 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 5:
5 * (f+t=15) --> 5f + 5t = 75
Step 2: Multiply Equation 2 by 1:
1 * (5f+20t=180) --> 5f + 20t = 180
Step 3: Equation 1 - Equation 2:
5f + 5t = 75 - (5f + 20t = 180) -(5f + 20t = 180)
5t - 20t = 75 - 180
Step 4: simplify and solve for t:
-15t = -105
t =
-105
-15
t = 7
Step 5: Rearrange Equation 1 to solve for f:
1f = 15 - 1t
Divide each side by 1
1f
1
=
15 - 1t
1
f =
15 - 1t
1
Step 6: Plug t = 7 into equation 1:
f =
15 - 1(7)
1
f =
15 - 7
1
f =
8
1
f = 8
algo = 0 title = Use Elimination to solve f + t = 15 and 5f + 20t = 180 pl = 1
What is the Answer?
f = 8
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?