`(6y-5)/(2y)=7/9`

Solve the following system of equations: (x)/(7)+(y)/(3)=5,quad (x)/(2)-(y)/(9)=6

On comparing the ratios (a_(1))/(a_(2)),(b_(1))/(b_(2)) and (c_(1))/(c_(2)), find out whether the following pair of linear equations are consistent,or inconsistent.(i) 3x+2y=5;2x-3y=7( ii) 2x-3y=8;4x-y=9 (iii) (3)/(2)x+(5)/(3)y=7;9x-10y=14( (iv) 5x-3y=11;-10x+6y=-22( v) (4)/(3)x+2y=8;2x+3y=12

The equation of the circle passing through the foci of the ellipse (x^2)/(16)+(y^2)/9=1 , and having centre at (0, 3) is (1) x^2+y^2-6y+7=0 (2) x^2+y^2-6y-5=0 (3) x^2+y^2-6y+5=0 (4) x^2+y^2-6y-7=0

If x=5 and y=-2 , then find the value of (i) (8x-2y+5)/(2x+4ty+12) " "(ii) (5x-6y-7)/(3x+6y+12)

Factorize each of the following algebraic expressions: 6x(2x-y)7y(2x-y)2r(y-x)+s(x-y)7a(2x-3)+3b(2x-3)9a(6a-5b)-12a^(2)(6a-5b)

15(y-4)-2(y-9)+5(y+6)=0

If (x)/(y)=(6)/(5), then the value of ((6)/(7)-(5x-y)/(5x+y)) is equal to (a) (1)/(7)( b) (2)/(7)(c)(3)/(7) (d) (4)/(7)

(x)/(2) - ( y )/(9) = 6, ( x) /( 7) + ( y ) /(3) = 5 .

Find each of the following products: (i) (x + 6) (x + 6) (ii) (4x + 5y) (4x + 5y) (iii) (7a + 9b) (7a + 9b) (iv) ((2)/(3) x + (4)/(5)y) ((2)/(3) x + (4)/(5) y) (v) (x^(2) + 7)(x^(2) + 7) (vi) ((5)/(6) a^(2) + 2) ((5)/(6) a^(2) + 2)