Question

The screen shot is in the file.... PLEASE HELPPP

Answer 1

Option A: Madison, (1.2,-1.6) is the correct answer.

Explanation:

Observing Madison's solution it can be seen that he has used elimination method to solve the system. If elimination method has to be used the first equation has to be multiplied by 4

`4(2x-y) = 4(4)\\8x-4y = 16`

While Madison has made mistake with sign of one term in equation 1 (he has written -8x instead of 8x)

So Madison's solution is wrong.

Tyler has used the substitution method to solve the system of equations and has done it correctly (Calculated value of y in terms of x from equation 1 and substituted in equation 2)

The value of x=1.2 is correct, we have to find the value of y

So,

Putting the value of x=1.2 we get,

`y=2x-4\\y = 2(1.2)-4\\y = 2.4-4\\y= -1.6`

The solution of given system of equations is (1.2,-1.6)

Hence,

Option A: Madison, (1.2,-1.6) is the correct answer.