3(x+1) - (y+7) = -2
4x+5(y-3)=-6

(x,y) (1,1)

Step-by-step explanation:

3(x+1)-(y+7)=-2

x=9/4-5/4y

3(9/4-5/4y+1)-(y+7)=-2

3(13/4-5/4y)-y-z=-2

39/4-15/4y-y-7=-2

11/4-19/4y=-2

11-19y=-8

-19y=-8-11

-19y=-19

y=1

x=9/4-5/4×1

x=1

(x,y) (1,1)

check if given ordered pair is the solution of the system

3(1,1)-(1+7)=-2

4×1+5(1-3)=-6

-2=-2

-6=-6

since both equations hold, the ordered pair is the solution of the system

so

(x,y) (1,1)

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.