Use Elimination to solve f + t = 34 and 5f + 2t = 116
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Use the elimination method to solve:
f + t = 34
5f + 2t = 116
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=34) --> 5f + 5t = 170
Step 2: Multiply Equation 2 by 1:
1 * (5f+2t=116) --> 5f + 2t = 116
Step 3: Equation 1 - Equation 2:
5f + 5t = 170 - (5f + 2t = 116) -(5f + 2t = 116)
5t - 2t = 170 - 116
Step 4: simplify and solve for t:
3t = 54
t =
54
3
t = 18
Step 5: Rearrange Equation 1 to solve for f:
1f = 34 - 1t
Divide each side by 1
1f
1
=
34 - 1t
1
f =
34 - 1t
1
Step 6: Plug t = 18 into equation 1:
f =
34 - 1(18)
1
f =
34 - 18
1
f =
16
1
f = 16
What is the Answer?
f = 16
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
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