Find the solution to the system of equations.

y=−4x−3
y=−2x+1

(- 2, 5 )

Step-by-step explanation:

Given the 2 equations

y = - 4x - 3 → (1)

y = - 2x + 1 → (2)

Since both equations express y in terms of x, equate the right sides, that is

- 4x - 3 = - 2x + 1 ( add 2x to both sides )

- 2x - 3 = 1 ( add 3 to both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

Substitute x = - 2 into either of the 2 equations for corresponding value of y

Substituting x = - 2 in (2), then

y = - 2(- 2) + 1 = 4 + 1 = 5

Solution is (- 2, 5 )

70,000 + 6,000 + 800 + 30

step-by-step explanation:

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.