Question
Solve the equations given in linear form for the indicated variable. Assume all variables are nonzero.Solve $y=a+b x$ for $b$
Solve the equations given in linear form for the indicated variable. Assume all variables are nonzero. Solve $y=a+b x$ for $b$
Answers
Solve each equation for $x .$ $$ \frac{x}{a}=\frac{y}{b} $$
Okay, so we're going to go ahead and solve this equation for the variable X. So to get X by itself, we're gonna start with adding one on both sides of equal sign here, which gives us X over A is equal to why Over B plus one. Now, to get X by itself, we're gonna get rid of a hair so are multiplying by a there. And then what we do on one side we have to do in the others will multiply it by a there, which gives us X equals a not supplied by why Overbey plus one. And now we can simplify one step farther by multiplying a by both of these terms inside the parentheses, which gives us X equals a why Overbey plus and then eight times one is just a so X equals a Y over B plus a
So here we have the equation X equals why it asked us if this is a linear equation. So linear equation means they expose b y equal. See? So I just need to make sure my too variables air on the website. So I'm gonna move this variable to the left side, subtract why? So I have X minus y equals zero. If you remember that there's a one right there and this could be plus negative one then yes, we have a linear equation. A is one b is negative one see?
Were asked to Seoul for Why and the formula A X Plus b Why equals C in order to solve for why we need to isolate why? Which means get why on one side of the formula by itself. So what we could do is to start off with. We could subtract a X from both sides of the equation, and that leaves us with B y equals C minus a X. Now we're close, but, uh, we still have be out in front of the why. So we can divide by be on both sides of the equation or formula. The bees cancel and we're left with y equals C minus a x a divided by B and that's the answer.
Hello, everyone. So here we have a system offline. Eri questions in two variables X and white. And we will solve it by using any convenient method. Okay, so here a, B and C are constants. It can be considered as constants. So we've no need to worry about them. The very evil sir X away. Okay, so if we want to eliminate X, that would be easier because we have the same coefficient for X. That is a Okay, So let us ah, subtract this equation. Second question from a question one. Okay, so if this is the second equation to on, this is one so we can subtract 12 from one. Okay, so that would give us e X plus b y equals C on on the denominator or sorry below it, we will write X minus to B y equals C. And since we're subtracting so that would be minus this one would become positive, and c would become also negative. Okay, so x minus x zero, then Busby White plus Toby, why would give you three b y on a C minus? E will give zero. Okay, so now we have three b. Why equals to seal. So that means why equals to zero, Because three, we cannot visit him. So why you close to zero? So we can put this fellow of why in equation one to get the value for X, I give. So the question one is e x plus B y equals two c. So x plus b dr Zero, Why is it so? It goes to see which implies e x equals to see our X equals to see upon a Okay, so this is ex CIA pony and Y zero. So the solution can be written in the form off ordered pair that is see upon a comma zero. Okay. And since this is the only solution, we can present it by then. Best solution set against it is there and their solution set or our system or free questions. Okay. I hope you have understood. Thank