Use Substitution to solve l + t = 12 and 3l + 2t = 32
Crop Image
Use the substitution 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.
Rearrange Equation 2 to solve for l:
3l + 2t = 32
Subtract 2t from both sides to isolate l:
3l + 2t - 2t = 32 - 2t
3l = 32 - 2t
Now divide by 3:
3l
3
=
32 - 2t
3
Revised Equation 2:
l =
32 - 2t
3
Plug Revised Equation 2 value into l:
1(l) + t = 12
1 * ((32 - 2t)/3) + t = 12
((32 - 2t)/3) + t = 12
Multiply equation 1 through by 3
3 * (((32 - 2t)/3) + t = 12)
3 * (((32 - 2t)/3) + t = 12)
32 - 2t + 3t = 36
Group like terms:
-2t + 3t = 36 - 32
1t = 4
Divide each side by 1
1t
1
=
4
1
t =
4
1
t = 4
Plug this answer into Equation 1
1l + 1(4) = 12
1l + 4 = 12
1l = 12 - 4
1l = 8
Divide each side by 1
1l
1
=
8
1
l =
8
1
l = 8
What is the Answer?
l = 8 and t = 4
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
Pick any 3 of the methods to solve the systems of equations
2 equations 2 unknowns This calculator has 2 inputs.
What 1 formula is used for the Simultaneous Equations Calculator?