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Studentka2010 [4]
2 years ago
14

2x-5y=3 4y-x=-3 solve by elimination

Mathematics
1 answer:
loris [4]2 years ago
4 0

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 .............................................  equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient  of y  which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 .............................................  equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

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kondor19780726 [428]
Guppies: u
Goldfish: o

3 times as many guppies as goldfish
3*o = u   (there are more guppies than goldfish)

o + u = 20
o = 20 - u

Substitute in (20 - u)  for o in the first equation and solve:
3* (20 - u) = u
60 - 3u = u
60 = 4u
u  = 15

He has 15 guppies. Then substitute in the number of guppies into either equation to find the number of goldfish:
o + u = 20
o + (15) = 20
o = 5

Hope this helps! :)

4 0
3 years ago
A map scale is give as 1:10000
Fynjy0 [20]

Answer:

2km

Step-by-step explanation:

6 0
2 years ago
Identify the following for the following graph:
julia-pushkina [17]

Answer:

X-Intercept = (1,0) and (3, 0)

Y-Intercept = (0, 6)

Vertex = (2, -2)

Maximum or Minimum = It is minimum, the vertex is the lowest number.

Axis of Symmetry = x = 2

Zeros = (1, 0) and (3, 0)

Domain = all real numbers

Range = y ≥ -2

8 0
3 years ago
The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W
Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

  • center = (-2, 6)
  • radius = √36 = 6
7 0
1 year ago
Help how do I do this​
guajiro [1.7K]

Answer:

12X+14

Step-by-step explanation:

Bc u can’t add X wit a number so 12X+14

7 0
3 years ago
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