Question

mary jo decided to solve the equation 3x-2=-x-6 by entering each of the exppressions into her graphing calculator. to solve the equation as a system, she entered y=3x-2 and y= -x-6. when she used the calculator to find the intersection, she found x=-1 and y=-5. is she right? if so show how she is correct

Answer 1

Answer: Yes she is correct.

Step-by-step explanation:

`y=3*(-1)-2\\y=-3-2\\y=-5`

y=-5

`3x-2=-x-6\\+2. +2\\3x. = -x-4\\+x. +x\\4x= -4\\x = -1`

x= -1

Answer 2

3x-2=-x-6

3x+x=2-6

4x=-4

x=-4/4=-1

y=3*(-1)-2=-3-2=-5

y=-(-1)-6=1-6=-5

She is right.