SOLUTION: Can you help me with this problem? x + 2y = 5 kx + 3y = 3 For the system to be independent the slopes must not be the same. Study the two equations and complete the fo

Question 676784: Can you help me with this problem?
x + 2y = 5
kx + 3y = 3

For the system to be independent the slopes must not be the same. Study the two equations and complete the following inequality for the slopes.
− k/3=
Multiply both sides by −3.
k ≠
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x + 2y = 5
rearranged as
2y = -x + 5
y = --> linear equation for this line
...
kx + 3y = 3
rearranged as
3y = -kx + 3
y = --> linear equation for this line
...
Since the slopes cannot be the same, solve for k when they are set equal

cross multiply
-3 = -2k
k = when the slopes are the same.
therefore,

.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.
RELATED QUESTIONS
Can you help me with this question? I need it answer by today. For what values of k... (answered by Alan3354)

I have a problem can you help me Its about solving for the value of k that makes each... (answered by ewatrrr)

Can anyone help me solve this? If the line Kx - 2y = 6 has the same x and y-intercept, (answered by Earlsdon)

Hi can you help me with this one? x + 2y = 5 kx + 3y = 3 Write the... (answered by solver91311)

In a 3-by-3 linear system, there should be a tripled pair for the system. This system... (answered by stanbon)

can you help me and show me how to solve this problem you must solve system using... (answered by vleith)

Hi, Can you help me with this math problem? Determine whether the given point is (answered by solver91311)

Find solution to each system of equations by substitution I am still struggling using (answered by josmiceli)

Could tutor please help with this problem? Help would be greatly appreciated! Use... (answered by Tatiana_Stebko)