Question

PLEASE HELP AND HURRY

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?

because the system of equations actually has only one solution
because the system of equations actually has no solution
because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist

Answer 1

Answer:c. They Overlap

Step-by-step explanation: This is because when we change both terms from standard to slope intercept, they are both y=-3/2x -2, causing them to have the same solution, which means they overlap, or they have infinite solutions

Answer 2

the answer is that the lines overlap each other

Explanation:

If you put both linear questions into desmos both linear equation have the same slope and x intercept so they would be shown to overlap on the graphing calculator.