All categories

2 years ago

Find the solution of the system of equations. 3x-8y = 193x + 5y = -46

Mathematics

1 answer:

sattari [20]2 years ago

4 0

(-7,-5)

Step-by-step explanation:

3x-8y = 19

minus

3x + 5y = -46

0x - 13y = 65

- 13y = 65

÷-13

y = - 5

Substitute y = - 5 into one of the functions:

3x-8y = 19

-8 x - 5 = 40

3x + 40 =19

-40

3x. = - 21

÷3

x= - 7

Solution is (-7,-5)

Hope this helps!

You might be interested in

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

Which of these is an example of typing at a rate of 42 words per minute?

algol [13]

C. Typing 210 words in 5 minutes.

Explanation:
42 words per minute is equivalent to 210 words in minutes:

Write the 42 wpm and 210 words in 5 mins as a ratio:
42 : 1 and 210 : 5

Multiply both sides in the ratio 42 : 1 by 5:
42 x 5 = 210
1 x 5 = 5
= 210 : 5

Therefore 210 words in 5 mins is an example of the unit rate 42 wom because it is equivalent.

Hope this helps!
-SpaceMarsh
(Brainliest pls, tysm!)

7 0

2 years ago

Which wave would have the higher pitch? Question 7 options: B A

Arte-miy333 [17]

A. would have the highest pitch because the sound vibration are close together and it would also be the fastest. B is incorrect because the sound waves are very which would give it a deeper voice and it would be the slowest

Hope this helps

8 0

2 years ago

Solve for y. 22mm+15mm+(4y+12)mm=180 degrees

AURORKA [14]

Answer:

y = 45/m^2 − 49/4

Isolate the variable by dividing each side by factors that don't contain the variable

3 0

2 years ago

Zorba ate 75% of his carrots. He started with 24 carrots. How many carrots are left?

Stella [2.4K]

Answer:

Step-by-step explanation:

75% of 24=18

24-18=6

5 0

2 years ago

Read 2 more answers

Find the solution of the system of equations. 3x-8y = 193x + 5y = -46​

Find the solution of the system of equations. 3x-8y = 193x + 5y = -46