Question

Analyze the solution set of the following system by
following the given steps.
2x + y = 5
3y = 9 - 6x
Write each equation in slope-intercept form.
y =
x +
x +
Y
=
Why do the equations have in common?

Answer 1

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form

2x + y = 5 ( subtract 2x from both sides )

y = - 2x + 5 ← in slope- intercept form

3y = 9 - 6x ( divide all terms by 3 )

y = 3 - 2x = - 2x + 3 ← in slope- intercept form

We have

y = - 2x + 5 and y = - 2x + 3

Both equations have a slope m = - 2

The equations of lines with equal slopes are Parallel lines

Answer 2

They all Intercept form