In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

1) if x > y

2) if x < y

3) if x ≥ y

4) if x ≤ y

5) if x = y or relation cannot be established between 'x' and 'y'.

**Before going to attempt these questions**

*READ IT*## Ques 1.

7X² – 33X + 20 = 0 ; 7Y² –+9Y -10 = 0

**Solution :**

**==> 7X²-28X-5X+20=0**

==>X=28/7 ; 5/7 = 4 ; 5/7

==>7Y²+14Y-5Y-10=0

==>Y= -14/7 ; 5/7 = -2 ; 5/7

**Ans :**x ≥ y

## Ques 2.

X² = 289 ; Y = (2197)^1/3

**Solution :**

**==> X = +/- 17**

==>Y = +13

**Ans :**x = y or relation cannot be established between 'x' and 'y'.

## Ques 3.

6X² -49X+99= 0 ; 5Y²+17Y+14= 0

**Solution :**

**==>**6X²-27X-22X+99=0

==> X = 27/6 ; 22/3 = 11/3 ; 9/2

*==>*5Y²+10Y+7Y+14=0

==> Y = -10/5 ; -7/5

**Ans :**x > y

## Ques 4.

5X² -52X+96= 0 ; 5Y²+3Y-36= 0

**Solution :**

**==>**5X²-40X-12X+96=0

==>X = 40/5 ; 12/5 = 8 ; 12/5

==> 5Y²+15Y-12Y-36=0

==> Y = -15/3 ; 12/5 = -3 ; 12/5

**Ans :**x ≥ y

## Ques 5.

X² +10X+21= 0 ;Y²+2Y-8= 0

**Solution :**

**==>**X² +7X+3X+21=0

==> X = -7 ; -3

==>

*Y²+4Y-2Y-8=0*

*==> Y = -4 ; 2*

**Ans :**x = y or relation cannot be established between 'x' and 'y'.

## Ques 6.

8X² -11X+3= 0 ;Y²-8Y+7=0= 0

**Solution :**

**==>**8X²-8X-3X+3=0

==> X = 8/8 ; 3/8 = 1 ; 1/8

==> Y²--7Y-Y+7=0

==> Y = 1 ; 7

**Ans :**

*x ≤ y*

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