Question

(6x - 5y = 34 Lin is solving this system of equations: 3x +2y = 8 She starts by rearranging the second equation to isolate the y variable: y = 4-1.5x. She then substituted the expression 4 - 1.5x for y in the first equation, as shown: 6x - 5(4- 1.5x) 6x - 20 – 7.5x -1.5x 34 = 34 = 54 = -36 Where did Lin go wrong when solving this problem?​

Answer 1

Answer:

It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:

Step-by-step explanation:

We know y = -1.5x +4, so we plug that into the equation

6x - 5(-1.5 + 4) = 34

6x +7.5x - 20 = 34    Here we distributed the -5 into the parenthesis.

13.5x -20 = 34

13.5 = 54

x = 4

Hope this helps!