Ask question

Ask question

All categories

3 years ago

7

How many solutions does this system have? 2x+3y=-3 3x+ 5y=-9

1 answer:

zhuklara [117]3 years ago

4 0

Answer:

Step-by-step explanation:

2x + 3y = -3 3x + 5y = -9

3y = -2x - 3 5y = -3x - 9

y = -2/3x - 1 y = -3/5x - 9/5

slope = -2/3 slope = -3/5

y int = -1 y int = -9/5

to find the answer, u must compare the slopes and the y intercepts.

if they have the same slope and different y int's, then there is no solution

if they have the same slope and the same y int's, they have infinite solutions

if they have different slopes and different y int's, they have 1 solution

so this system has 1 solution <===

You might be interested in

If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI

Vikentia [17]

Answer:

The value is $y = \$ 225$

Step-by-step explanation:

From the question we are told that

The amount charge per year is $k = \$ 200$

The number of members it will have at this amount is $n = 50$

The amount amount increase that will lead to the loss of a single member is $z = \$ 5$

Generally the total amount the club would obtain from its members is mathematically represented as

$I = Amount \ due\ paid * Number \ of members$

Now let x denote the number of member lost

Hence

$I = (k + zx) (n-x )$

=> $I = (200 + 5x) (50-x )$

=> $I = 10000+50x-5x^2$

Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

$\frac{dI}{dx} = 50-10x$

=> $x = 5$

So from $I = (200 + 5x) (50-x )$ we have

$I = (200 + 5 (5)) (50-5 )$

$I = \$ 10125$

So the amount the club should charge is

$y = \frac{10125}{50 - 5}$

$y = \$ 225$

7 0

3 years ago

What is the answer to -4/22t -5/22t

marta [7]

Answer:

<h2>-9/22t</h2>

Step-by-step explanation:

Just do -4/22-5/22 = 9/22 and just add a t, which is 9/22t.

6 0

3 years ago

Read 2 more answers

Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

<u>Given:</u>

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

<u>Plug </u> $y=3$ <u> into the solved expression for </u> $z$ <u> and evaluate to solve for </u> $z$ <u>:</u>

$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael’s age

ki77a [65]

Answer: 14

Step-by-step explanation:

⇒ Michael's age = x −25

⇒ x − 25 + x = 53

⇒ 2x = 53 + 25

⇒ 2x =78

⇒ x =39

Hence, Michael's age

<h2>= x − 25 = 39 − 25 = 14 </h2>

* Hopefully this helps:) Mark me the brainliest:)!!!

<em>~234483279c20~</em>

5 0

3 years ago

Georgia's height is 4 inches less than Sienna's height. Georgia is

iris [78.8K]

Answer:

58+4=62 Sienna’s height is 62 inches

Explanation:

Sienna’s height is 62 inches because Georgia’s height is 58 inches and she is shorter by 4 inches which means you have to add 58+4 which would equal 62.

3 0

3 years ago

Read 2 more answers