Since there is no such value of [tex]z[/tex] that satisfies the equation. So, the equation has no solution.
Therefore, option [tex]D[/tex] is correct.
Solution of an equation is the value or set of values that satisfies the equation.
[tex]9z+10=1-3(5-3z)[/tex]
[tex]9z+10=1-15+9z[/tex]
[tex]9z+10=-14+9z[/tex]
[tex]10=-14[/tex], which is not true for any value of [tex]z[/tex].
So, the equation has no solution.
Therefore, option [tex]D[/tex] is correct.
Learn more about solutions of an equation here:
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