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4 years ago

Ax + by = c To solve each literal equation for the given variable

Mathematics

1 answer:

vodka [1.7K]4 years ago

8 0

Answer:

Step-by-step explanation:

For a:

ax = c - by

a = (c - by)/x

For x:

ax = c - by

x = (c - by)/a

For b:

by = c - ax

b = (c - ax)/y

For y:

by = c - ax

y = (c - ax)/b

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1. Which measure is equivalent to 16 quarts?

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3 years ago

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Write a in slope-intercept form of the line that passes threw (-9,5) and (-3,3)

Amanda [17]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

We have the following points:

$(x_ {1}, y_ {1}): (- 9,5)\\(x_ {2}, y_ {2}): (- 3,3)$

Substituting we have:

$m = \frac {3-5} {- 3 - (- 9)}\\m = \frac {-2} {- 3 + 9}\\m = \frac {-2} {6}\\m = - \frac {1} {3}$

Thus, the equation is of the form:

$y = - \frac {1} {3} x + b$

We substitute one of the points and find "b":

$3 = - \frac {1} {3} (- 3) + b\\3 = 1 + b\\3-1 = b\\b = 2$

Finally, the equation is of the form:

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Answer:

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3 years ago

Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. A ticket to the movie cost $5.25 more than a soda. How

Effectus [21]

Answer: a ticket to the movie costs $8.5

Step-by-step explanation:

Let x represent the cost of a movie ticket.

Let y represent the cost of a Soda.

Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. This means that

3x + 3y = 35.25 - - - - - - - - - -1

A ticket to the movie cost $5.25 more than a soda. This means that

x = y + 5.25

Substituting x = y + 25 into equation 1, it becomes

3(y + 5.25) + 3y = 35.25

3y + 15.75 + 3y = 35.25

6y = 35.25 - 15.75 = 19.5

y = 19.5/6 = 3.25

x = y + 5.25 = 3.25 + 5.25

x = 8.5

4 0

3 years ago