Mia babysits some children after school. For each child, she charges x 1 2 dollars per hour. One day she cared for 2 children for 3 hours each. She paid $4 per child for materials for activities. Two students wrote expressions for the amount of money Mia earned. Are their expressions equivalent? Paolo wrote the expression 3(x 1 2) 1 3(x 1 2) 2 8. Carla wrote the expression (3x 1 6) 2 4 1 (3x 1 6) 2 4. Simplify the expressions to see whether they are equivalent. Paolo’s Expression Carla’s Expression 3(x 1 2) 1 3(x 1 2) 2 8 (3x 1 6) 2 4 1 (3x 1 6) 2 4 5 3x 1 6 1 3x 1 6 2 8 5 3x 1 3x 1 6 1 6 2 4 2 4 5 6x 1 4 5 6x 1 4 Why did Paolo add 3(x 1 2) to itself and subtract 8?

(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

maybe showing the graph would

step-by-step explanation:

-387129 iq