Anna has a total of 40 goldfish in her aquarium, some are orange and some are black. The number of orange goldfish is 5 more than

twice the number of black goldfish. Which system of equations below can be used to describe the number of black and orange

goldfish in Anna's aquarium?

40=3y+5

Step-by-step explanation:

If orange is represented by x and black is represented by y

orange fish are 5 more than twice black

meaning, x=2y+5

Also, orignal equation would be 40=x+y

so it would be 40=(2y+5)+y

or, 40=3y+5

then solve

35=3y

so about 12 orange fish

can you give me more detail on this! ?

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