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Oliga [24]
3 years ago
10

X+y=32x-y=3 using elimination method​

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
4 0
X=2, y=1 plug it in and it works
By elimination the y cancels itself out and then you add 2x+x to get 3x, add 3+3 and get 6. If 3x = 6, then divide by 3 and you get x=2. If you put that in the first equation, 2 +y= 3, it is obvious that y equals 1.
zhuklara [117]3 years ago
3 0

Answer:

x = 2 , y=1

Step-by-step explanation:

to solve the equation using elimination method we say

let

x+y=3 .................. equation 1

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

add all the equation together inorder to get rid of y

we have

  x + y = 3

+ 2x -y = 3

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

3x = 6

divide both sides by 3

3x/3 = 6/3

x = 2

substitute for x = 2 in equation 1 to get the value of y

x+y=3 .................. equation 1

2 + y = 3

y = 3 -1

y =2

therefore the value of x and y is 2 & 1 respectively

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6 times the sum of 3 consecutive odd intergers is -18
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The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
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To represent 3 (three consecutive odd integers):
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Let "x" be the first odd integer.
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Let "(x+2)" be next consecutive odd integer.
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Let "(x+4") be the third odd integer.
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The sum of these three consecutive odd integers:
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x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
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Six ("6") times the sum of these 3 (three) consecutive odd integers =
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6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
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Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
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{6(3x + 6) } / 6 = -18 / 6 ;  to get:
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3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
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3x + 6 - 6 = -3 - 6 ; to get:
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Remember, from above:
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Let "x" be the first odd integer.  We know that "x = -3".
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Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
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6 * -3 = ? -18? Yes!
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