Use Substitution to solve f + t = 34 and 5f + 2t = 116
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Use the substitution 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.
Rearrange Equation 2 to solve for f:
5f + 2t = 116
Subtract 2t from both sides to isolate f:
5f + 2t - 2t = 116 - 2t
5f = 116 - 2t
Now divide by 5:
5f
5
=
116 - 2t
5
Revised Equation 2:
f =
116 - 2t
5
Plug Revised Equation 2 value into f:
1(f) + t = 34
1 * ((116 - 2t)/5) + t = 34
((116 - 2t)/5) + t = 34
Multiply equation 1 through by 5
5 * (((116 - 2t)/5) + t = 34)
5 * (((116 - 2t)/5) + t = 34)
116 - 2t + 5t = 170
Group like terms:
-2t + 5t = 170 - 116
3t = 54
Divide each side by 3
3t
3
=
54
3
t =
54
3
t = 18
Plug this answer into Equation 1
1f + 1(18) = 34
1f + 18 = 34
1f = 34 - 18
1f = 16
Divide each side by 1
1f
1
=
16
1
f =
16
1
f = 16
What is the Answer?
f = 16 and t = 18
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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