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Rasek [7]
3 years ago
8

Solve the following equation for y. Assume that b and y are non-zero real numbers. show and explain your work.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0
6-by=19
minus 6 from both sides
-by=19-6
-by=13
divide both sides by -b
y=13/-b
y=-13/b
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which equation represents a line that is parallel to the line whose equation is 3x-2y=7; which equation represents a line parall
aleksley [76]

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

We have been given a parallel line with has equation

3x-2y=7

In order to solve this, the slope of the original line.

3x - 2y = 7

-2y = -3x + 7

y = 3/2x - 7/2

thus its slope is 3/2.

thus, the slope of the needed line is 3/2 too.

we know that any line that is parallel to that would have this slope.

So anything is written in the form:

y = 3/2x + b

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

Learn more about parallel lines here:

brainly.com/question/13857011

#SPJ4

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