Answer:
(-5, -10)
Step-by-step explanation:
y+2x = 5y
==>2x=4y
x=2y
5y=3(2y)+5
==>
y = -5
x = -10
==>
one solution
Answer:
y=1
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, the ratio of x:y are 3:1
Because the x is literally 3, the ratio is...3:1.
Hence, y=1
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Answer:
p = 3
Step-by-step explanation:
distribute parenthesis on both sides of the equation
10p - 3p + 4 = 4p + 4 + 9 ( simplify both sides )
7p + 4 = 4p + 13 ( subtract 4p from both sides )
3p + 4 = 13 ( subtract 4 from both sides )
3p = 9 ( divide both sides by 3 )
p = 3
we can see that the center is (-3, 3) and the radius is 9 units.
<h3 /><h3>
How to find the center and radius of the circle?</h3>
The general circle equation, for a circle with a center (a, b) and radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we have the equation:
x^2 + y^2 + 6x = 6y + 63
Let's complete squares:
x^2 + y^2 + 6x - 6y = 63
(x^2 + 6x) + (y^2 - 6y) = 63
(x^2 + 2*3x) + (y^2 - 2*3y) = 63
Now we can add and subtract 9, (two times) so we get:
(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63
(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2
(x + 3)^2 + (y - 3)^2 = 9^2
Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.
If you want to learn more about circles:
brainly.com/question/1559324
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