[" Rispan,"-2,3" ) i auda "2x+3y-4x+22=0" an "34(x)/(1)-(y)/(4)=(2)/(5)-1" Ranitial the "],[[" (a) "sqrt(42)," (b) "," (b) ",6sqrt(5)]]

(1)/(2(3x+4y))=(1)/(5(2x-3y))=(1)/(4),

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

If (i) 4x+5y=83 and (3x)/(2y)=(21)/(22), then what is the value of y-x? (ii) (x)/(4)-(x-3)/(6)=1 then find the value of x.

Are the following pair of linear equations consistent ? Justify your answer. (i) -3x - 4y = 12 and 4y + 3x = 12 (ii) (3)/(5)x - y = (1)/(2) and (1)/(5) x - 3y = (1)/(6) (iii) 2ax + by = a and 4ax + 2by - 2a = 0, a, b != 0 (iv) x + 3y = 11 and 2(2x + 6y) = 22

Are the following pair of linear equations consistent ? Justify your answer. (i) -3x - 4y = 12 and 4y + 3x = 12 (ii) (3)/(5)x - y = (1)/(2) and (1)/(5) x - 3y = (1)/(6) (iii) 2ax + by = a and 4ax + 2by - 2a = 0, a, b != 0 (iv) x + 3y = 11 and 2(2x + 6y) = 22