Explain why 2(z – 1) = 4(z + 5) has one solution.

2(z - 1) = 4(z + 5)

2z - 2 = 4z + 20

minus 2z from the whole equation

-2 = 2z + 20

add 2 to the other side

0 = 2z + 22

2z = -22

z = -11

there is only one solution cuz its a linear equation ( not sure tho )

because if its done any other way it will be incorrect and z = 2

Step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.