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(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?​

Respuesta :

Orion4784

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!

Lin got it wrong when solving the system of equations because;

She made the mistake of leaving 7.5x as negative instead of making it positive after multiplying out the bracket.

  • The system of equations is;

6x - 5y = 34   ---(eq 1)

3x +2y = 8  ---(eq 2)

  • The first step was to rearrange the second equation to make y variable the subject of the equation;

2y = 8 - 3x

divide each term by 2 to get;

y = 4 - 1.5x

This corresponds to what she got and it is correct.

  • The second step was to substitute (4 - 1.5x) for y in equation 1 to get;

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

Multiplying out the bracket gives;

6x - 20 + 7.5x = 34

Let's simplify the left side by adding terms with x to get;

13.5x - 20 = 34

Add 20 to both sides to get;

13.5x = 54

x = 54/13.5

x = 4

  • She got x = 3.6, so it means she made the mistake of leaving 7.5x as negative instead of making it positive after multiplying out the bracket in the second step.

Read more at; https://brainly.com/question/2162337

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