8. which of the following ordered pairs is a solution of the given system of linear equations answer choices and question are in picture you so much!

Option D The solution of the system is the point (-3,5)

Step-by-step explanation:

we have

x+y=2 > equation A

y=-2x-1 > equation B

Solve the system by substitution

Substitute the equation B in equation A and solve for x

x+(-2x-1)=2

-x-1=2

x=-2-1

x=-3

Find the value of y

y=-2x-1

y=-2(-3)-1

y=5

therefore

The solution of the system is the point (-3,5)

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.