Juan solved the system of linear equations 8x - 3y = -1
and
-5x+2y = 1

a. First, he multiplied the equation
8x - 3y = -1
by 2 to get

b. Next, he multiplied the equation
-5x+2y = 1
by 3 to get

c. Then he added the two resulting equations together to get

d. Finally, he substituted the result into one of the original equations and solved

x =1

y = 3

Step-by-step explanation:

8x - 3y = -1 * 2   part (a)

-5x +2y =1 * 3   part (b)

16x -6y = -2  part (c)

-15x +6y = 3        

x = 1

8(1) - 3y = -1   part (d)

8-3y =-1

-3y = -9

y =3

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .