Which of these strategies would eliminate a variable in the system of equations?
( 10x + 4y = -2)
(5x-2y=2)
Choose all answers that apply:
Multiply the top equation by
then add the equations.
Multiply the bottom equation by 2. then subtract the bottom equation from the top equation.

Add the equations.

The value of x is 0.1 and y is -0.75, if the given equations are and .

Step-by-step explanation:

The given is,

                              .................................(1)

                                  ..................................(2)

Step:1

          Equation (2) is multiplied by -2                    ( Eqn(2) × -2 )

                               ................................(3)

Step:2

          Substrate the equation (1)  and (3),

           ( - )

                                                 = 0.1

                                               x = 0.1

Step:3

            Substitute the value of x in equation (1),

          Where, x = 0.1

Step:4

       Check for solution,

                                               2 = 2

Result:

           The value of x is 0.1 and y is -0.75, if the given equations are and .

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it