Two numbers have a sum of 33. the same two numbers have a difference of 13. what are the two numbers?

solve using a system of equations.

x = 23

y = 10

Step-by-step explanation:

Let the two numbers be x and y where x>y

x + y = 33

x - y  = 13             Add

2x = 46               Divide by 2

2x/2=46/2           Do the division

x = 23

Solve for y

x + y = 33               Substitute for x

23 + y = 33             Subtract 23 from both sides.

23-23+y = 33 - 23  

y = 10

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

i believe the correct answer is b.