Jessie has $5.40 in nickels and dimes. she knows that the total number of coins is 68, and that the equation to represent this is
n+ d = 68, where n is the number of nickels and d is the number of dimes. if jessie needs a system of equations to find the number of
each type of coin, what is the second equation of the system?
o
$0.05n + $0.10d = $5.40
o
$0.05n + $0.10d = 68
o
$0.50n + $0.10d = $5.40
o
n
+ d = $5.40

you answer is a

step-by-step explanation:

37

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