I know how to graph them but it says I have to solve the system of equations...How do I solve that?

GAMEMASTERX40 May 7, 2019

#1**+2 **

y = 4 cos (x) + 1

y = -cos (x) - 4 set the y's equal.....and we have

4cos (x) + 1 = -cos(x) - 4 add cos (x), 4 to both sides

5cos (x) + 5 = 0 subtract 5 from both sides

5 cos (x) = - 5 divide both sides by 5

cos (x) = -1

And this happens when x = pi and x = -pi

The intersection point(s) are

4cos (pi) + 1 = -4 + 1 = -3 ⇒ (pi, -3) and

4cos(-pi) + 1 = -4 + 1 = - 3 ⇒ (-pi, -3)

See the graph here, GM : https://www.desmos.com/calculator/j9yashts7t

CPhill May 7, 2019

#2**+1 **

This is called 'solving by the graphical method'..... when you graph the two (or more ) equations......The points where they intersect is the solution set.

ElectricPavlov May 7, 2019