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Leya [2.2K]
3 years ago
12

Which is the solution to the system 3x+y=8 and 7x−4y=25

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

3x + y = 8 → (1)

7x - 4y = 25 → (2)

Multiplying (1) by 4 and adding to (2) will eliminate the y- term

12x + 4y = 32 → (3)

Add (2) and (3)  term by term to eliminate y

19x + 0 = 57

19x = 57 ( divide both sides by 19 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) + y = 8

9 + y = 8 ( subtract 9 from both sides )

y = - 1

solution is (3, - 1 )

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My name is Ann [436]
Remember that the general formula for a circle is <span> 
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center. 
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2). 
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
8 0
3 years ago
Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 m
MrRissso [65]

Answer:

The faster train goes 60mph

Step-by-step explanation:

s= speed

s+20 is the faster train.

Then you are given:

200/s+s+20=2

200=2*(2s+20)

4s+40=200

4s=160

s=40 is the slower train

40+20= speed of faster one

s=60 ;)

6 0
3 years ago
PLEASE ANSWER! (I’m a noob with this app, so all I know is that whoever answers a Q correctly will get brainliest)
klasskru [66]

Answer: 2 Exermintal proobilty

Step-by-step explanation:

it is nit theritcal because she actualy has the beans.

5 0
3 years ago
Which equation is correct
Anika [276]

For this case we have to define trigonometric relations of rectangular triangles that:

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Then, according to the figure we have:

Sin (G) = \frac {15} {17}\\Cos (G) = \frac {8} {17}

Answer:

Sin (G) = \frac {15} {17}

Option D

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3 years ago
a stack of 4 books weigh 5.2 pounds if each book weighs the same amount then how much does each book weigh
statuscvo [17]

Answer:

1.3 pounds

Step-by-step explanation:

8 0
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