Home
Class 10
MATHS
Solve for 'x' and 'y': (a -b) x + (a + b...

Solve for 'x' and 'y': `(a -b) x + (a + b) y =a^2 - b^2 - 2ab and (a + b) (x + y) = a ^2+ b^2`

Text Solution

AI Generated Solution

To solve the equations for 'x' and 'y', we have the following two equations: 1. \((a - b)x + (a + b)y = a^2 - b^2 - 2ab\) 2. \((a + b)(x + y) = a^2 + b^2\) ### Step 1: Rewrite the equations We can rewrite the second equation to express it in a simpler form: ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3a|18 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3A|8 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

x+y=a+b , a x-b y=a^2-b^2

Solve the following system of equations in x and y (a-b)x+(a+b)y=a^2-2a b-b^2,\ \ \ \ (a+b)(x+y)=a^2+b^2

Solve: x+y=a+b ; a x-b y=a^2-b^2

(a-b)x+ (a+b)y=a^2-2ab-b^2 , (a+b)(x+y)=a^2+b^2 find x and y

Solve (x)/(a) + (y)/(b) = 1 and a(x - a)- b(y + b) = 2a^(2) + b^(2) .

x/a-y/b=0 , a x+b y=a^2+b^2

Solve : a(x+y)+b(x-y)=a^2-a b+b^2 , a(x+y)-b(x-y)=a^2+a b-b^2

The foci of hyperbola xy = ((a^2 + b^2)/(4)) are given by (A) x = y = +- ((a^2 + b^2)/(4a)) (B) x = y = +- ((a^2 + b^2)/(4b)) (C) x = y = +- ((a^2 + b^2)/(2a)) (D) x = y = +- ((a^2 + b^2)/(2b))

Locus of all such points from where the tangents drawn to the ellipse x^2/a^2 + y^2/b^2 = 1 are always inclined at 45^0 is: (A) (x^2 + y^2 - a^2 - b^2)^2 = (b^2 x^2 + a^2 y^2 - 1) (B) (x^2 + y^2 - a^2 - b^2)^2 = 4(b^2 x^2 + a^2 y^2 - 1) (C) (x^2 + y^2 - a^2 - b^2)^2 = 4(a^2 x^2 + b^2 y^2 - 1) (D) none of these

If x = a + b and y = a + 2b then what is a - b , in terms of x and y ?