Question

What is the solution of the system? Use a graph.
y = x + 5
y = –5x – 1

Answer 1

x=-1

y=4

check the graph added

Explanation:

Hello

(1)y = x + 5

(2)y = –5x – 1

Here we have two linear functions, the point of intersection of the two lines is the solution coordinate (x, y)

using a graph as asked by the question we can figure out the intercept

I=(-1,4) hence

x=-1

y=4

let´s check in the equations

(1)y=x+5

4=-1+5

4=4,ok

(2)y=-5x-1

4=-5(-1)-1

4=+5-1

4=4,ok

check the graph added

Have a great day

Answer 2

We equal the two y.

x+5=-5x-1
6x=-6
x=-1

I hope that this is the answer that you were looking for and it has helped you.