7l+5.5d=6.75
l+d=4.5
solve for l and d

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

Step-by-step 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

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