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Point) Let k,h be unknown constants and consider the linear system:6 y 6 ~ 5y + 2~ 38 y h ~4x 19xThis system has unique solution whenever h #0If h is the (correct) ...

Question

Point) Let k,h be unknown constants and consider the linear system:6 y 6 ~ 5y + 2~ 38 y h ~4x 19xThis system has unique solution whenever h #0If h is the (correct) value entered above, then the above system will be consistent for how many value(s) of k? OA. infinitely many values OB. unique value no values

point) Let k,h be unknown constants and consider the linear system: 6 y 6 ~ 5y + 2~ 38 y h ~ 4x 19x This system has unique solution whenever h #0 If h is the (correct) value entered above, then the above system will be consistent for how many value(s) of k? OA. infinitely many values OB. unique value no values



Answers

Solve each system. State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary. $$\begin{aligned} &3 x+2 y=5\\ &6 x+4 y=8 \end{aligned}$$

Even that three x minus y quinto food and six x minus two y. It will do it. We should one second this question. Now we're moving the available Multiply the first question with minor self toe. So we get three x multiplied with minus two, which is equal to minus six x My last flight multiplayer minus two, which is a less why it will before multi planet minus two, which is equal to mine itself. It and so inefficient becomes the same six x minus off. Why it will go it not airing these two questions from minus six Express six sixes cancel out less to y minus two is considered so that you site a serial. It will do minus eight. Plus it it went toe zil Now we kept cereal equal to zero. That means these two equations one and two are dependent and heavy in finite number, off solutions. Okay, and social service the same. Pushing one and two that miss Ocean surges three x minus Y equal to four. Our six x minus two y equals eight

We need to solve the following system, so we're going to multiply by negative two On our top equations, we get negative six X minus four. Y is equal to negative 10. Our bottom equation stays six X plus four Y is equal to eight. Our exes and our wives cancel out. We're left with zero is equal to -2. This means there is no solution, so our solution set is empty, and so this is an inconsistent system.

Given this system of equations, I want to take note in the question. But it says there are infinitely many solutions. This means the equations are the same. They're scale hours of each other. I want you to notice then that if you multiplied the second equation entirely both sides of the equation by eight, then you would get eight. K equals. You have to distribute the 87 Why plus four x so notice. That's the same thing from the first equation. Seven y plus four x. What does this mean? It means a k equals negative. 16. Viable science by eight K's equal to negative two at matches choice see.

Yeah. In the question we have to solve a given set of equations which is three X plus two Y. In schools to five. Six X plus four. White is close to eight. Now, moving towards the solution, Let this be the question one and this vedic question too. Now we are going to use the elimination method to solve these equations For that. We have to multiply the question one by two. You will get six X plus four wires close to 10. Label it as a question number three. And now if you are going to apply elimination method between the question two and three that is six X plus four. Y is close to wait. Is the question too minus six X plus four Y. It's called Sutent is the question three. So you will get zero equals 2 -2, which is not possible. So the given set of equations comes out the week and consistent. Thank you.


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