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zalisa [80]
3 years ago
8

Solve 5b+8-3b=-24 show work

Mathematics
2 answers:
ankoles [38]3 years ago
3 0
5B+8-3B= -24
+3b+8= -24
8b+8= -24
             -8
-----------------
8b         -32
---          ----
8            8

b= -4
aksik [14]3 years ago
3 0
Pull out like factors 

   2b + 32  =   2 • (b + 16)<span> 
</span>
 Solve   <span> 2   =  0
</span>This equation has no solution.

Solve   b+16 = 0<span> 

 You have to </span><span>Subtract </span> 16  from both sides of the equation <span> 
 </span>                     b = -16<span> is the answer.</span>
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butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

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3 years ago
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