Ken, Leon, and Mark collect seashells as a hobby. Ken has (3x - 5) seashells, Leon has (2x + 1) seashells, and Mark has (0.25x + 7) seashells. a. Write an expression for the total number of seashells they collected. b. If the total number of seashells they collected is 45, determine the number of seashells each of them have.

Ken, Leon, and Mark collect seashells as a hobby. Ken has (3x - 5) seashells, Leon has (2x +1) seashells, and Mark has (0.25x + 7) seashells. a. Write an expression for the total number of seashells they collected.

The

Ken has 5 shells, Leon has 2 shells, Mark has 1.50 shells

how do we know:

because the 5 is negative we have -5 + -5=0 because negatives only go up by subtracting so 0+-5 is 5.

because the 1 is positive we can do 1+1 as were doing 2x1 so 1+1=2.

because we are doing 0.25x7 we need to know that we can flip the problem so we get 7x0.25. this makes things easy for you and me, we already know that 4 0.25's make 1 and we also know that 0.25+0.25 is 0.50 and 1 + 0.50 is 1.50 or just 1.5

hope this helps!

(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