Find the value of two numbers if their sum is 23 and their difference is 5

Let the two numbers be represented by x and y respectively.

Then x + y = 23, and x - y = 5.  

Solve this system of linear equations for x and y.  Start by rearranging them vertically:

x + y = 23

x - y = 5

  Combining the two equations eliminates y:

2x = 28.

Then x = 14.  If x = 14, then 14 + y = 23, and y = 9..

The solution is (14, 9);  that is, x = 14 and y = 9.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

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.