Are the two expressions equivalent?
expression a: 11z+9z
expression b: (11+9)z
a.
no, because for z = 5, the value of expression a is 100 and the value of expression b is 64.
b.
no, because for z = 5, the value of expression a is 64 and the value of expression b is 100.
c.
yes, because for z = 5, the value of expression a is 100 and the value of expression b is 100.
d.
yes, because for z = 5, the value of expression a is 64 and the value of expression b is 64.

C

Step-by-step explanation:

11z+9z (11+9)z

20z (20)z

(11•5)+(9•5) (11+9)5

55+45 (20)5

100 100

linear

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