Question

this item has parts A and B please scroll the bottom of the page to answer each part. complete each of the 2 activities for this task.use the information to answer the following questionscarolyn was asked to solve the following system of equations. her work is shown.problem:3x-2y=7y=x+2caralyn's work: 3x - 2(x+2)=73x-2x+4=7x+4=7x=3y = x + 2y =3 + 2y= 5actívate 1/2 Part A: what error did carolyn make? identify her mistake and explain the error. actívity 2/2 Part B: using substitution, solve the system of equations. shown you work

Answer 1

Given data:

The first equation is 3x-2y=7.

The second equation is y=x+2.

Substitute (x+2) for y in the first equation.

$\begin{gathered} 3x-2(x+2)=7 \\ 3x-2x-4=7 \\ x=11 \end{gathered}$

The value of y is,

$\begin{gathered} y=11+2 \\ =13 \end{gathered}$

Here, the mistake is while muliplying -2 with (x+2) the expression is -2x-4 not -2x+4.

Thus, the value of x is 11, and the value of y ia 13.