Use Substitution to solve f + t = 31 and 0.05f + 0.2t = 3.50
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Use the substitution method to solve:
f + t = 31
0.05f + 0.2t = 3.50
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:
0.05f + 0.2t = 3.50
Subtract 0.2t from both sides to isolate f:
0.05f + 0.2t - 0.2t = 3.50 - 0.2t
0.05f = 3.50 - 0.2t
Now divide by 0.05:
0.05f
0.05
=
3.50 - 0.2t
0.05
Revised Equation 2:
f =
3.50 - 0.2t
0.05
Plug Revised Equation 2 value into f:
1(f) + t = 31
1 * ((3.50 - 0.2t)/0.05) + t = 31
((3.5 - 0.2t)/0.05) + t = 31
Multiply equation 1 through by 0.05
0.05 * (((3.5 - 0.2t)/0.05) + t = 31)
0.05 * (((3.5 - 0.2t)/0.05) + t = 31)
3.5 - 0.2t + 0.05t = 1.55
Group like terms:
-0.2t + 0.05t = 1.55 - 3.5
-0.15t = -1.95
Divide each side by -0.15
-0.15t
-0.15
=
-1.95
-0.15
t =
-1.95
-0.15
t = 13
Plug this answer into Equation 1
1f + 1(13) = 31
1f + 13 = 31
1f = 31 - 13
1f = 18
Divide each side by 1
1f
1
=
18
1
f =
18
1
f = 18
What is the Answer?
f = 18 and t = 13
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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