Add 6 to the quotient of a number and 3 and the answer is 14

24

Step-by-step explanation:

We want to find the "number".

First, the quotient of two quantities means the division between them. Questions tells us to "ADD 6" to the "Quotient of a number and 3". So let the number be "x". Hence, quotient of x and 3 is:

x/3

Then we add 6 to it, so it becomes:

(x/3) + 6

THis is equal to 14, so we will have:

(x/3) + 6 = 14

Doing cross-multiplication and algebra, we now can solve for the unknown number (x). Shown below:

The number is 24

(4,5

look up a corrdinate plane and do what the thingy says and boom

(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