Use Elimination to solve 2b + 3t = 80 and b + t = 34
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Use the elimination method to solve:
2b + 3t = 80
b + t = 34
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 1:
1 * (2b+3t=80) --> 2b + 3t = 80
Step 2: Multiply Equation 2 by 2:
2 * (b+t=34) --> 2b + 2t = 68
Step 3: Equation 1 - Equation 2:
2b + 3t = 80 - (2b + 2t = 68) -(2b + 2t = 68)
3t - 2t = 80 - 68
Step 4: simplify and solve for t:
1t = 12
t =
12
1
t = 12
Step 5: Rearrange Equation 1 to solve for b:
2b = 80 - 3t
Divide each side by 2
2b
2
=
80 - 3t
2
b =
80 - 3t
2
Step 6: Plug t = 12 into equation 1:
b =
80 - 3(12)
2
b =
80 - 36
2
b =
44
2
b = 22
What is the Answer?
b = 22
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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