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Ilia_Sergeevich [38]
4 years ago
12

3x+1/5y=7 solve for y

Mathematics
1 answer:
Vladimir79 [104]4 years ago
5 0
Hello!

First, let's write the problem.
3x+\frac{1}{5}y=7
Subtract 3x from both sides.
3x+\frac{1}{5}y-3x=7-3x
\frac{1}{5}y=7-3x
The opposite of division is multiplication, so we are going to multiply in order to undo the fraction.
5\cdot \frac{1}{5}y=5\cdot \:7-5\cdot \:3x

Our final answer would be, 
y=35-15x

Thanks!
-TetraFish
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Use this attachment to answer 1-3
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Simple,

1.) A vertical angle, is an angle directly across another angle. Thus, <2 and <5 are vertical angles.

2.)This is another pair of vertical angles, thus, m<4 is 53.

3.)Since m<1 is 50

You have the m<4 which is 50. You already have m<3 which is the right angle, 90. 

Thus, 90+50=140

You know a line is supposed to be 180 degrees. So take,

180-140=40

Thus, the m<5 is 40.
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Step-by-step explanation:

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Step-by-step explanation:

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Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Solnce55 [7]

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: y=mx+b where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  y=mx+b where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

y=mx+b\\y=-\frac{2}{3}x+3

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

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