Question

Lin is solving this system of equations: Lin is solving this system of equations: 6x - 5y = 34 3x + 2y = 8 She starts by rearranging the second equation to isolate the y variable:y=4-1.5æ. She then substituted the expression 4 -1.5x for y in the first equation, as shown: 6x - 5(4- 1.5x) = 34 6r - 20 - 7.5= 34 -1.5% = 54 =-36 1. Check to see if Lin's solution of (-36,58) makes both equations in the system true. 2. If your answer to the previous question is "no," find and explain her mistake. If your answer is "yes" graph the equations to verify the solution of the system. y=4-1.52 y=4-1.5 • (-36) y=58

Answer 1

The given system of equations is:

6x - 5y = 34

3x + 2y = 8

Lin's solution to the question is (-36, 58)

That is, x = -36, y = 58

To check whether Lin's solution is correct, substitute x = -36, y = 58 into each of the equations in the system and check if the right and side equals the left hand side.

6x - 5y = 34

6(-36) - 5(58) = 34

-216 - 290 = 34

-506 = 34 (False)

3x + 2y = 8

3(-36) + 2(58) = 8

-108 + 116 = 8

8 = 8 (true)

Since the solution only makes one equation in the system true ( and not both), Lin's solution is wrong

Let us find the correct solutions by taking the same steps taken by Lin, and then fish out her errors

The given system of equations is:

6x - 5y = 34

3x + 2y = 8