Solve the system of equations..
y= 2x +42
y=8x

x = 7

y = 56

Step-by-step explanation:

Sub y = 8x into first equation

8x = 2x + 42

Rearrange by collecting like terms

8x - 2x = 42

6x = 42

x = 7

Sub x = 7 into second equation

y = 8*7

y = 56

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

Dilation is a transformation which maps the triangle into similar triangle, so

Thus,

Similar triangle have congruent corresponding angles, so

and proportional corresponding sides

Thus, correct options are: