Question

My dad is helping me figure it out and we have solved it- we're just checking to see if we are correct or not! Use elimination to solve the system of equations.

{2/3x-3y=1/5
{2x-9y=4

Answer 1

He thinks that the lines are parallel and have no solution. Are we correct?

Answer 2

\[2x-9y=4 \]

Answer 3

\[2x=4+9y \]

Answer 4

\[x=4/2 + 9/2y \]

Answer 5

\[ x=2+9/2y\]

\[2/3(2+9/2y)-3y =1/5\]

\[4/3+18/6y-3y=1/5\]

\[4/3+3y-3y =1/5 \]

4/3=1/5

So no solution possible! Am I correct? @Directrix @whpalmer4

Answer 6

I agree. The lines are parallel; they have the same slope. So, there is no intersection and no common solution.

Answer 7

Thank you! Hey, I'm starting to get the hang of this. =)

Answer 8

Glad to hear the good news. Practice is the key.

Answer 9

=) Yupp!

Answer 10

Here are some study aids.

Answer 11

Wow thanks! You're awesome.

Answer 12

Thanks.

Answer 13

Yes, they are parallel lines, so no intersection and no common solution. Graph attached for your viewing pleasure.