Please answer ASAP question is in pic^

Step-by-step explanation:

Original equation

    √x+6-4 = x

   Isolate

    √x+6 = 4+x

Raise both sides to the second power

    (√x+6)2 = (4+x)2

    After squaring

    x+6 = x2+8x+16

Rearranged equation

    x2  + 7x  + 10 = 0

    This equation has two rational roots:

      {x1, x2}={-2, -5}

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -2 for  x  

     √(-2)+6 = 4+(-2)

     Simplify

     √4 = 2

     Solution checks !!

    Solution is:

     x =  -2

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -5 for  x  

     √(-5)+6 = 4+(-5)

     Simplify

     √1 = -1

     Solution does not check

     1 ≠ -1  

the answer is d

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3