SOLUTION: Solve x-y=3 AND X+Y=5 USING three methods. x-y=3---(equation 1) x+y=5---(equation 2) ------- method 1 ------- adding equation 1 and 2 2x=8 dividing both sides by 2 x=4.

Algebra ->  Testmodule -> SOLUTION: Solve x-y=3 AND X+Y=5 USING three methods. x-y=3---(equation 1) x+y=5---(equation 2) ------- method 1 ------- adding equation 1 and 2 2x=8 dividing both sides by 2 x=4.       Log On


   

Question 336276: Solve x-y=3 AND X+Y=5 USING three methods.
x-y=3---(equation 1)
x+y=5---(equation 2)
-------
method 1
-------
adding equation 1 and 2
2x=8
dividing both sides by 2
x=4.
putting value of x in equation 1
4-y=3
4-3=y
y=1
------
method 2
------
subtracting equation 2 from 1
-2y=-2
multiplying both sides by -1
2y=2
dividing both sides by 2
y=1
putting value of y obtained in equation 1
x-1=3
x=4
-------
method 3
-------
multiplying equation 1 by 5 and equation 2 by 3
5x-5y=15---equation 4
3x+3y=15---equation 5
subtracting equation 5 from equation 4
2x-8y=0
2x=8y
x=4y---equation 5
putting the value of x obtained in equation 1
4y-y=3
3y=3
y=1
from equation 5
x=4*1
x=4
Answer by kshlak(4) About Me  (Show Source):
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Solve x-y=3 AND X+Y=5 USING three methods.
x-y=3---(equation 1)
x+y=5---(equation 2)
-------
method 1
-------
adding equation 1 and 2
2x=8
dividing both sides by 2
x=4.
putting value of x in equation 1
4-y=3
4-3=y
y=1
------
method 2
------
subtracting equation 2 from 1
-2y=-2
multiplying both sides by -1
2y=2
dividing both sides by 2
y=1
putting value of y obtained in equation 1
x-1=3
x=4
-------
method 3
-------
multiplying equation 1 by 5 and equation 2 by 3
5x-5y=15---equation 4
3x+3y=15---equation 5
subtracting equation 5 from equation 4
2x-8y=0
2x=8y
x=4y---equation 5
putting the value of x obtained in equation 1
4y-y=3
3y=3
y=1
from equation 5
x=4*1
x=4