solve the system:

y = 4x − 19

y = −3x + 23

a
(5, 6)

b
(4, 1)

c
no solution

d
(6, 5)

(6,5)

Step-by-step explanation:

The two expressions are both equal to y, so they are equal to each other.

4x - 19 = -3x + 23

Add 3x to both sides.

7x - 19 = 23

Add 19 to both sides.

7x = 42

Divide by 7 to get x alone.

x = 6

Now find the y value by substituting x in an equation.

y = 4x - 19

y = 4(6) - 19 = 24 - 19 = 5

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length