Gabriela wants to show that the following is true by example. Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

She begins with the system of linear equations below.

6x − 2y = −4
2x + y = −8

She then multiplies the second equation by 3. What should she do next?

A. Add 6x – 2y = – 4 to 2x + y = – 8.
B. Add 6x + 3y = – 24 to 6x – 2y = – 4.
C. Multiply 2x + y = – 8 by 2 and add to 6x − 2y = − 4.
D. Multiply 6x – 2y = – 4 by 3 and add to 6x + 3y = −24.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

246

step-by-step explanation: