In Exercises 71–78, solve each equation. Then determine whether t...

Question

In Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation.

4(x + 5) = 21 + 4x

Accepted Answer

Hi there. So this problem tells us to determine whether the equation is an identity conditional equation or inconsistent equation. After solving the equation. So let's go ahead and rewrite this equation first We have nine times X -13 equals negative 1 18 plus nine X. So we're going to try and solve for X. And we notice here first we have an X minus 13 multiplying this night. Let's go on. This should be that nine because otherwise we can't really work with this. So we should be done. We do that. People get nine times X which is nine X. Nine times negative 13 which is negative 1 17. This is equal to 81 18 plus nine X. Now what I'm gonna do is I'm gonna subtract our nine X from both sides. I do that on X. An X. I'm actually going to get a 0x here. Those are going to cancel each other out. I'm left with 1 17 on this side. Just negative on the right side. Same situation are nine X. Since the track nine X which turns into zero X. So we actually get a solution negative 1 17 equals negative 18. This actually doesn't make any sense. This is no solution because there's no X anymore. Maybe this solution is an inconsistent solution. Flying to an inconsistent equation. Okay, I hope to help you solve the problem. Thank you for watching. Goodbye

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