Question

Noah and Lin are solving this system:[96x+180y=696[96x-72y=1200Lin says “I known you can eliminate x by doing that and then subtracting the second equation from the first, but I can use smaller numbers. Instead of what you did, try multiplying the first equation by 6 and the second equation by 4”a. Do you agree with akin that her approach also works? Complete the following to explain your reasoning Yes/No (yes or no) with Lin’s strategy, the coefficient of x in both equations is 48/36( which one)subtracting the two equations eliminates xB. Complete the following to describe the smallest whole-number factors by which you can multiply the equations in order to eliminate x.Multiply the first equation by 2/3(2 or 3 which one) and the second equation by 2/3( 2 or 3 which one)

Answer 1

The equations are:

6x+180y=696

96x-72y=1200

As Lin said, try multiplying the first equation by 6 and the second equation by 4.

Let's try that:

6 * (6x+180y=696) => 36x + 1080y = 4176

4 * (96x-72y=1200) => 384x - 288y = 4800

Now, if we see both the new equations, we cannot just eliminate the 'x' element by just subtracting the second equation from the one. Therefore, Lin's approach is not suitable.

Also, we can see that the coefficients of x in both the equations are not 48/36.