What is the solution to the system of equations? 3x-6 = -12
x-2y = -8

(a) use the substitution method to justify that the given system of equations has no solution.
(b) what do you know about the two lines in this system of equations?

Part a) In the procedure

Part b) Line A and Line B are different parallel lines

Step-by-step explanation:

Part a) we have

----> equation A

----> equation B

Isolate the variable x in the equation B

Substitute the value of x in the equation A

------> is not true

therefore

The system of equations has no solutions

Part b) What do you know about the two lines in this system of equations?

------> equation A

isolate the variable y

-------> equation B

isolate the variable y

Line A and Line B are parallel lines, because their slopes are the same

Line A and Line B are different lines because their y-intercept is not the same

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.

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