solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24

Answer: y = 1 and x = 4

Step-by-step explanation:

-8x + 10y = -22

8x - 15y = 17

-----------------------

- 5y = -5 Add the two equations to eliminate x

y = 1 Solve for y

=====

8x - 15y = 17 (y = 1) Use y=1 in either equation

8x - 15 = 17

8x = 32

x = 4 Ta da

Answer:

solution:  x = 4, y = 1 or (4, 1)

Step-by-step explanation:

To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):

-8x + 10y = -22

+ 8x -  15y =  17

       - 5y  = -5

Divide both sides by -5 to solve for y:

[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]

y = 1

Next, substitute the value of y into one of the equations to solve for x:

-8x + 10y = -22

-8x + 10(1) = -22

-8x + 10 = -22

Subtract 10 from both sides

-8x + 10 - 10 = -22 - 10

-8x = -32

Divide both sides by -8 to solve for x:

[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]

x = 4

Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{2}=\dfrac{y}{3}\\\\[/tex]

Cross multiply,

3x = 2y    ------------(I)

[tex]\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z[/tex]

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

[tex]x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20[/tex]

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6

Answer:

your answer is 1.5

Step-by-step explanation:

3/4 simpified is 0.75 + 4/5 simplied is 0.8

0.75+0.8=1.5

Answer:

8x + 13y has to be less than or equal to 47.

Step-by-step explanation:

Answer:

241

Step-by-step explanation:

15th squared number = 225

4th squared number = 16

225 + 16 = 241

Answer:

no

Step-by-step explanation:

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

Answer:

m<BEC=80º

Step-by-step explanation:

a line is 180º total

180-70-30=80

Answer:

BEC = 80°

Step-by-step explanation:

Supplementary = 180°

70 + 30 = 100

180 - 100 = 80

Hope this helps! Pls give brainliest!

Answer:

f-(-4)=-1

f+4=-1

f+4-4=-1-4

f=-5

Step-by-step explanation:

Answer:

its 2 8/11

Step-by-step explanation:

i hope this helps have a good day

Answer:

18 games

Step-by-step explanation:

If Sarah's Volleyball team won 12 out of 14 games, then their win rate is 12/14. You can simplify this fraction down to 6/7 to make it easier, but you don't have to.

If they keep the same rate of 6/7 (6 wins for every 7 games they win), you multiply the rate by the total games to get the number of wins. wins/games (rate) x total games = total wins, so 6/7 x 21 = 18.

Answer:

C is the correct answer

Step-by-step explanation:

50.6 and 50.600 are mathematically the same thing. Adding zeros at the end of a decimal does not increase its amount in this case.

Answer:

C

Step-by-step explanation:

50.6 is the same as 50.600

Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.

Step-by-step explanation:G

Answer:

$16

Step-by-step explanation:

25% is equal to 1/4.

1/4 of 16 is 4.

so if you subtract 4 from 16, it equals 12.

have a lovely day <3

Answer:

30%

Step-by-step explanation:

2000-----100%

1400------x%

x=(1400×100)÷2000

X=70%

final we go 100%-70%=30%

Television price reduced for 30%

Answer:

x = 15

Step-by-step explanation:

Here's an easy way to solve this:

OAP appears to be a right isosceles triangle. Angle O is a right angle, so the other angles are congruent (the same).

180-90 = 90

90÷2 = 45

3x = 45

x = 15

Answer:

0.070

Step-by-step explanation:

i think

Answer:

-2/3x+4

Step-by-step explanation:

the reason is that if we take 2 point from the graph for example;

0,4 and 6,0

1) to get the gradient it is y2-y1/x2-x1

sub 0,4 and 6,0 into the equation from 1

4-0/0-6 which is 4/-6

4/-6 = 2/-3 and +4 because as seen in the graph it's hits the y-axis at +4

so it is 2/-3x + 4

Answer:

9)x=11 y=3

11)x=18 y=5

Step-by-step explanation:

9) 9x+25=13x+19                   13x-19+17y+5=180

   9x+44=13x                         129+17y=180

   44=4x                                 17y=51

   11=x                                     y=3

11) 49+3x=7x-23                    3x=11y-1

Answer:

points on the line: (0,3) (1,4) (-4,-5)

Step-by-step explanation:

put those points on the graph and just draw a line that connect to all of them

Answer:

x=-4

Step-by-step explanation:

2(x+6)=4

2x+12=4

2x=4-12

2x=-8

x=-4

Answer:

x = -4

Step-by-step explanation:

First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4

Next subtract 12 on both sides to get -8.

Lastly divide 2 on both sides to get x = -4

Hope this helps :)

The measurement of angle b is 128°

here is the answer hope it help you

If the perimeter of the rectangular field is 236, the distance covered by the man is 236* 5 = 1180

Answer:

C.

Step-by-step explanation:

\sqrt{35} = 5.916079783

Its the Closest one

Answer:

C is the correct answer

[tex] \sqrt{35 } = 5.91 \\ [/tex]

Answer:

345 is the answer

Step-by-step explanation:

use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!

The 50th term of this arithmetic sequence will be 9655.

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.

The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.

Then the 50th term of this arithmetic sequence will be

aₙ = a₁ + (n - 1)d

aₙ = a₁ + (n - 1)(4n - 3)

a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)

a₅₀ = 2 + 49 × 197

a₅₀ = 2 + 9653

a₅₀ = 9655

The 50th term of this arithmetic sequence will be 9655.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

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