Question

7l+5.5d=6.75
L+d=4.5
Solve for l and d

Answer 1

The solution of the given system is given as L = -12, d =16.5

Explanation:

7 L+ 5.5 d = 6.75

L + d = 4.5

From (2), we get:

L + d = 4.5

⇒ d = 4.5 - L

Substitute the above value of d is the above first equation:

7 L+ 5.5 d = 6.75 ⇒ 7 L+ 5.5 (4.5 - L) = 6.75

⇒ 7 L + 24.75 - 5.5 L = 6.75

or, 1.5 L = 6.75 - 24.75 = -18

or, L = -18/1.5 = 12

or, L = -12

Now, d = 4.5 - L = 4.5 - (-12) = 16.5

or, d = 16.5

Hence, the solution of the given system is given as L = -12, d =16.5