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Describe the value of c for which the equation is an identity.

Please show work.

|2x + 5|=|cx + 3 - 4x +2|​


Sagot :

The​ value of c for which the equation is identity is 6

Given the expression

|2x + 5|=|cx + 3 - 4x +2|​

Collecting the like terms;

|2x + 5|=|cx - 4x + 3 +2|​

|2x + 5|=|cx - 4x + 5|

If the modulus is positive;

2x + 5 = (c-4)x + 5

Compare both sides of the equation

2x = (c-4)x

2 = c-4

c = 2 + 4

c = 6

Hence the​ value of c for which the equation is identity is 6

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