Question

simplify x-y=3,-x-y=5 by elimination method find the value of x and y

Answer 1

Answer:

solve by elimination ie eliminate x or y from the equations by performing operations on them.

first label the equations , to follow the process.

x - y = 5 ----------------(1)

x+ y = 3 ----------------(2)

If (1) and (2) are added then y will be eliminated.

(1) + (2) gives : 2x = 8 → x = 4

now substitute this value of x into either of the 2 equations and solve for y.

let x = 4 in (1) : 4 - y = 5 → -y = 1 → y = -1

check in (1) : 4-(-1) = 4+1 = 5

check in(2) : 4 - 1 = 3

Answer 2

x-y=3 ————eq.1

-x-y=5 ————eq.2

______________________

ADDING EQ. 1 AND EQ. 2 WE GET:-

x-y-x-y=3+5

-2y=8

y= -4

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PUTTING VALUE OF Y IN EQ. 1 WE GET:-

===>x-y=3

===>x-(-4)=3

===>x+4=3

===>x=3-4

x=-1

______________________

HENCE,

X = - 1

Y = - 4