Use Elimination to solve l + t = 12 and 3l + 2t = 32
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Use the elimination method to solve:
l + t = 12
3l + 2t = 32
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 3:
3 * (l+t=12) --> 3l + 3t = 36
Step 2: Multiply Equation 2 by 1:
1 * (3l+2t=32) --> 3l + 2t = 32
Step 3: Equation 1 - Equation 2:
3l + 3t = 36 - (3l + 2t = 32) -(3l + 2t = 32)
3t - 2t = 36 - 32
Step 4: simplify and solve for t:
1t = 4
t =
4
1
t = 4
Step 5: Rearrange Equation 1 to solve for l:
1l = 12 - 1t
Divide each side by 1
1l
1
=
12 - 1t
1
l =
12 - 1t
1
Step 6: Plug t = 4 into equation 1:
l =
12 - 1(4)
1
l =
12 - 4
1
l =
8
1
l = 8
What is the Answer?
l = 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
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