In this unit, you solved two-step equations. A two-step equation is an equation of the form px + q = r. It takes two steps to solve for the variable x. For example, 3x + (-5) = 19 is a two-step equation. How could you transform this particular equation to create a three-step equation? List several ways you could transform it using common math operations. Next, try solving one of the three-step equations you created for x. (Use a guess and check strategy, if necessary.) What additional step was required to find the solution? In your opinion, is solving a three-step equation more difficult than solving a two-step equation? Why or why not? Do you think there is a limit to the number of steps it takes to solve an equation? Explain.

(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

93-8=85

855=17

17*4=68

there are 68 purple marbles in that bag

list

6,24,51,72,12,54,80,44,57,64,92,26,66,96

your welcome!