Question

How many solutions does this equation have?

9 − z + 12z = 17 + 11z
no solution
one solution
infinitely many solutions

Answer 1

Let's simplify the problem:

9 − z + 12z = 17 + 11z (simplify -z + 12z)

9 + 11z = 17 + 11z (subtract 11z from both sides)

9 = 17

9 obviously does not equal 17, so the equation has no solutions

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