Question

How many solutions does this system have?
y = x + 5
y = -5x - 1
A. one
B. none
C. infinite
D. two

Answer 1

@sweetburger

Answer 2

Graph the two functions and see how many times they intersect, if they do.

Answer 3

What numbers do I graph?

Answer 4

You graph the lines...

using graph paper plot each line based on the y intercepts and the slopes of the lines

Answer 5

Y-intercept form for a line....

y = mx + b m is the slope and b is the y intercept
the y intercept is where the point on the y axis when x is zero

Answer 6

oh ook

Answer 7

Or create a table of points for each function....

Answer 8

solve them
x+5=-5x-1
x+5x=-1-5
6x=-6
x=-1
y=?
how many solutions you get.
?

Answer 9

2?

Answer 10

An alternative approach would be to equate these two equations to each other:

this will automatically eliminate the variable y.

solve the resulting equation for x. How many such solutions are there?

Answer 11

there is only one value of x and one value of y.
so only one point of intersection
in a plane if slopes of two lines are equal then they coincide or are parallel.
first degree eq in x and y represent a st. line.
if two lines in a plane are not parallel then they intersect exactly at one point.

Answer 12

I am still confused is it 2??

Answer 13

Are you still wanting an answer to this??

Answer 14

Yes

Answer 15

@sammixboo

Answer 16

sshayer typed the following to you yesterday. Did you not see his contribution?

sshayer Best Response Medals 0
there is only one value of x and one value of y.
so only one point of intersection

Answer 17

So then A?

Answer 18

@mathmale