Question

Which graph represents the solution to the given system? Y=-x+5 y= 1/4 x+10

Answer 1

Answer:

See attachment

Step-by-step explanation:

The given system is :

$y = - x + 5$

$y = \frac{1}{4}x + 10$

Let us equate both equations and solve for x.

$- x + 5 = \frac{1}{4}x + 10$

$- 4x + 20 = x + 40$

$20 - 40 =x + 4x$

$- 20 = 5x$

$x = - 4$

$y = - - 4 + 5 = 9$

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.