230k views
21 votes
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 +
y =
be+
DONE
What do the equations have in common and how are they different

1 Answer

9 votes

Answer:

Slope -intercept for of equation 1:
y=-2x+5

Slope -intercept for of equation 2:
y=-2x+3

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

Explanation:

We need to write equations in slope-intercept form.

The general formula of slope-intercept form is:
y=mx+b where m is slope and b is y-intercept.

The first equation is:


2x+y=5

Slope-intercept form:


y=-2x+5

The second equation is:
3y=9-6x

Rearranging:
3y=-6x+9

Slope-intercept form:


y=(-6)/(3) x +(9)/(3)\\y=-2x+3

Slope -intercept for of equation 1:
y=-2x+5

Slope -intercept for of equation 2:
y=-2x+3

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

They have different y-intercepts.

User Sarge
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories