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
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.
Answer: Yes she is correct.
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