Question

How many solutions does this equation have?

2k-4k- 17 = -2k - 12
no solution
one solution
infinitely many solutions

Answer 1

• No solutions

Explanation:

To determine how many solutions the equation 2k - 4k - 17 = -2k - 12 has, we need to simplify the equation and examine the resulting expression.

2k - 4k - 17 = -2k - 12

Combining like terms:-

• -2k - 17 = -2k - 12

now, let's isolate the variable by getting rid of the -2k term on both sides of the equation:

• -2k + 2k - 17 = -2k + 2k - 12

Simplify:-

• -17 = -12

Now, we can see that the left-hand side (LHS) of the equation (-17) is not equal to the right-hand side (RHS) of the equation (-12).

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Therefore, there are no solutions to this equation.

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