+0  
 
0
44
1
avatar

The lines -2x + y =k and 0.5x +y = 14 intersect when x= -8.4. What is the value of k?

 Dec 9, 2021
 #1
avatar+132 
+1

The two lines intersect when the y's and x's are equal. Thus, we can convert each to slope-intercept form:

\(y=2x+k, y=-0.5x+14\)

Thus, the lines intersect when \(2x+k = -0.5x+14 \text{ or } 2.5x=14-k\).

Consequently, k = 14-2.5*-8.4 = 35.

 Dec 9, 2021

11 Online Users

avatar
avatar
avatar