Given the equation, 3/(y - 5) = 15/(y + 4) what is the value of y?

Mathematics

1 answer:

pogonyaev3 years ago

5 0

Answer:

y = 29/4

Step-by-step explanation:

It is given that,

3/(y - 5) = 15/(y + 4)

To find the value of y

we have,

3/(y - 5) = 15/(y + 4)

3(y + 4) = 15(y - 5)

(y + 4) = 5(y - 5) [dividing both sides by 3]

y + 4 = 5y - 25

5y - 25 = y + 4

5y - y = 4 + 25

4y = 29

y = 29/4

Therefore the value of y = 29/4

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ASHA 777 [7]

Lines are parallel if and only if there slopes are the same
the slope will be m in the equation y=mx+b notice that the coefficient of y is 1
a)y=3/5x+1
b)5y=3x-2---> divide the whole equation by 5-->y=3/5-(2/5)
c)10x-6y=-4-->solving for y--->-6y=-4-10x--->dividing by -6--->y=(-10/-6)x-(4/-6)
so a and b are parallel
for the second question
a)4x-3y=2---->-3y=2-4x---->y=(2/-3)+(4/3)x
b)3x+4y=-1--->4y=-1-3x---->y=(-1/4)-(3/4)x
c)4y-3x=20--->4y=20+3x--->y=5+(3/4)x
so no parallel lines in the second question

7 0

3 years ago

Find the equation of a line passing through the point(-3,0) and (2,-3)

Svetradugi [14.3K]

Answer (assuming the question allows it to be written in slope-intercept form):

$y = -\frac{3}{5} x-\frac{9}{5}$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ , substitute the given points' x and y values, and simplify:

$m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute real values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

$y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}$