Which number line represents all of the values of x for the equation x² = 64?

There should be a dot at 8 and at -8

Step-by-step explanation:

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = ±8

There should be a dot at 8 and at -8

They intersect at

Step-by-step explanation:

x-2y = 4  

7x  + 2y = 8  

We will solve the equations using the substitution method so we will solve for y in one of the equations and  and substitute it into the other equation to solve for x.

x - 2y = 4  

-x         -x

-2y = 4 - 1x      Divide both sides by -2

y = 1/2 x - 2      Now use substitution

7x + 2( 1/2x -2) = 8  

7x + 1x - 4 = 8  

  8x -4 = 8

       +4   +4

8x = 12

x =  12/8   and simplifies to   3/2  

the value of x is 3/2  so plot it into one  of the equations and solve for y.  

7(3/2) + 2y = 8  

21/2  + 2y = 8

-21/2            -21/2

2y = -5/2  

y = -5/4