1j + 2c =11

1L + 1c = 5
1j + 2L = 3

1j + 1c + 1L = t

What is t?

To find the value of t, you need to solve the system of equations given:

1j + 2c = 11 (Equation 1)
1L + 1c = 5 (Equation 2)
1j + 2L = 3 (Equation 3)

To solve this system, you can use the method of substitution or elimination. Let's solve it using the elimination method:

Step 1: Multiply Equation 2 by -2 to eliminate the c variable:
-2(1L + 1c) = -2(5)
-2L - 2c = -10 (New Equation 2)

Step 2: Add Equation 1 and the new Equation 2 to eliminate the j variable:
(1j + 2c) + (-2L - 2c) = 11 + (-10)
1j - 2L = 1 (New Equation 4)

Step 3: Multiply Equation 3 by -1 to eliminate the j variable:
-1(1j + 2L) = -1(3)
-1j - 2L = -3 (New Equation 3)

Step 4: Add the new Equation 4 and the new Equation 3 to eliminate the j variable:
(1j - 2L) + (-1j - 2L) = 1 + (-3)
-4L = -2

Step 5: Solve for L:
L = (-2)/(-4)
L = 1/2

Step 6: Substitute the value of L back into any of the original equations. Let's use Equation 3:
1j + 2(1/2) = 3
1j + 1 = 3
1j = 3 - 1
1j = 2

Step 7: Substitute the values of j and L into Equation 2 to find c:
1(1) + 1c = 5
1c = 5 - 1
1c = 4

Step 8: Substitute the values of j, L, and c into the equation for t:
t = 1j + 1c + 1L
t = 2 + 4 + 1/2
t = 6 + 1/2
t = 6 1/2 or 13/2

Therefore, the value of t is 6 1/2 or 13/2.