If $y = 3 x - 7, 3 y = k x - 21$ $y=3x-7, 3y=kx-21$ are equivalent linear equations, what is the value of k?

Question

If $y = 3 x - 7, 3 y = k x - 21$ $y=3x-7, 3y=kx-21$ are equivalent linear equations, what is the value of k?

1 Answer

Impact of this question

2993 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T23:22:30

$k = 9$ $k=9$

Explanation:

Let's place the equations side by side in slope-intercept form:
First one: $y = 3 x - 7$ $y=3x-7$
The second one we will have to get in slope intercept:
$3 y = k x - 21$ $3y=kx-21$
$y = \frac{k x}{3} - 7$ $y=(kx)/3-7$

So therefore:
$\frac{k}{3} = 3$ $k/3=3$
$k = 9$ $k=9$

Science

Math

Humanities

... and beyond

If $y = 3 x - 7, 3 y = k x - 21$ $y=3x-7, 3y=kx-21$ are equivalent linear equations, what is the value of k?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

If y=3x−7,3y=kx−21y=3x-7, 3y=kx-21 are equivalent linear equations, what is the value of k?

1 Answer

Explanation:

Related questions

Impact of this question

If $y = 3 x - 7, 3 y = k x - 21$ $y=3x-7, 3y=kx-21$ are equivalent linear equations, what is the value of k?