Answered

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for what value of k does the equation have infinitely many solutions?
5kx+3=3(k+1)

Sagot :

choptsui

Answer: k=0

Step-by-step explanation:

Infinitely many solutions means that no matter what it will be equal on the left of the equation as well the right.

For example:

5 = 5     or

8x = 8x or

8x+3 =8x+3

All of these equations will always be the same(true/equal) not matter what you plug in for x.

For

5kx + 3 = 3 (k + 1)                 >Simplify first lets distribute

5kx + 3 = 3k +3                    >by deduction what could you plug in for k that would make both sides equal no matter what.  If k=0 then the right and left sides will always be equal.

So k=0 is your answer  

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