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3 years ago

Use substitution to solve the system of equation. 2x+2y=8 x+y=-2

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer:

Step-by-step explanation:

find the value of y in the second equation

x + y = -2,

but y = -2-x as well

so take the value that we have found for (x) into the first equation

2x + 2(-2-x)= 8

-2x + -4-2x = 8

-4x-4=8

-4x = 12

x=-3,

now just substitute x value into either equation

x + y =-2

-3 + y = -2

y =1

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PLEASE HELP WILL MARK BRAINLIEST!

pav-90 [236]

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Given:

$a_1=1$

$a_n=3a_{n-1}+2$

First five terms of the sequence:

$a_1=1$

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$a_3=3a_2+2=3(5)+2=17$

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2 years ago

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How do you re-write 0.7 repeating as a simplified fraction?

Brums [2.3K]

Answer:

7/10

Step-by-step explanation:

because .7*10 = 70 and it would be 70/100 so you simplify it to 7/10

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3 years ago

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The number of seats in a row has been increased at a rectangular-shape movie theater after renovation so that it is now five mor

Damm [24]

Let the number of rows be = r

Let the number of seats per row be = s

we know that the number of seats is 126.

So, $s\times r=126$ ..... (1)

As given, there are five more seats per row than the number of rows, so we can say that:

$s=r+5$

Putting this in equation (1)

$(r+5)*r=126$

$r^{2}+5r=126$

$r^{2}+5r-126=0$

$r^{2}+14r-9r-126=0$

$(r+14)(r-9)=0$

r=-14 and r=9 (neglecting the negative value) we get r=9

And s=r+5

so, s =9+5=14

Hence, there are 5 rows and 14 seats per row.

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3 years ago

Find the range of the function<br> F(x) = (x-2)2 +2

viktelen [127]

(x - 2)^2 will always be positive and will have a minimum value of 0

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3 years ago

Algebra applications: find the value of x and y

Inga [223]

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

$5x-y+150=180$ ...........(1)

$5x-y=180-150$

$5x-y=30$ ............(2)

$5x+y+130=180$ ...........(3)

$5x+y=180-130$

$5x+y=50$ ...........(4)

Now we adding equation 2 and 4, we get the value of x.

$5x-y+5x+y=30+50$

$10x=80$

$x=8$

Now we are putting the value of x in 4, we get the value of y.

$5x+y=50$

$5(8)+y=50$

$y=50-40$

$y=10$

Therefore, the value of x and y is 8 and 10 respectively.

3 0

3 years ago