Solve each equation for x. ax+b=3(x-a)

Question

Accepted Answer

Hey everyone here we are asked to write the value of Y. In terms of M. And N. From our given equation where we have four, N. Y plus M is equal to nine times the quantity of y minus n. So to begin to find the value of why we first need to just factor in this nine on the right hand side of our equation. So doing this, our equation becomes for N Y plus M is equal to nine Y minus nine N. And so now that we have factored in the nine, we want to focus on manipulating this equation so that we get all of the Y terms alone. So doing this, we can first look at the right hand side of our equation and we see that in order to get nine Y alone, we need to move over this negative nine N. To the left hand side of our equation. So that means we have to add nine N. To both sides. Since then the nine ends on the right hand side will both cancel. So our equation becomes four, N. Y plus nine N plus M is equal to nine Y. And now again we need to get all of the Y terms alone, which means all of the Y terms need to be on the same side of the equation. So we need to move this four N. Y from the left hand side of the equation to the right hand side of the equation. Well, since this four N Y is positive, we need to subtract for N. Y from both sides so that the four N. Y. On the left hand inside both cancel. And our equation becomes nine N plus M. Is equal to nine Y minus for ny so now looking at the right hand side of our equation, we see that all of the y variables have been moved over to this side and that both terms contain the Y variable, which means that to get y alone, we can first factor out Y from both terms. So doing this, Our equation becomes why times the quantity of 9 -4 N is equal to nine n plus M. So now our last step in getting the Y variable alone here is to just get rid of this expression on the left hand side. This 9 -4 end. We need to move this to the right hand side. And so since we are multiplying why with this expression we need to divide both sides of the equation by the expression of nine minus four N. So with this we see on the on the left hand side that both expressions the nine minus four N. They both cancel. And so we now isolate the variable Y. And we see that Y is equal to nine N plus M. All divided by nine minus for N. So with this we have found the value of Y in terms of the variables N. And M. And so we are left with answer choice. D. Thanks for watching. I hope you found this video helpful, and I'll see you again next time.

Solve each equation for x. ax+b=3(x-a)

Key Concepts

Linear Equations

Distributive Property

Isolating the Variable

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