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Mathematics, 18.11.2020 20:30 87haymaker

Lin is solving this system of equations: \left \{ {{6x-5y=34} \atop {3x+2y=8}} \right. She starts by rearranging the second equation to isolate the variable: y = 4 - 1.5

She then substituted the expression 4 - 1.5x for y in the first equation, as shown:

6x - 5(4 - 1.5x) = 34
6x - 20 - 7.5x = 34
-1.5x = 54
x = -36

y = 4 - 1.5x
y = 4 - 1.5 · (-36)
y = 58

a. Check to see if Lin's solution of (-36, 58) makes both equations in the system true.

b. 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.

If yall can help me with this it would be great, I'm really behind and need to get caught up fast, plus I hardly understand this stuff.

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