Question

use a number line to find the value of the following: (1) 4+2 with answer (2) 4-1 (3) -4+2 (4) -5-3 (5) +6-(+4) (6) (-6)-(-2) = please give a answer.​

Answer 1

Answer:

(ii) x= 2/5, y 1/2

Solution:

(x+y)+(x-y)

(2/5 + 1/2)/(2/5-1/2)

((2x2 + 1x5)/10)/((2x2-1×5)/10) ((4+5)/10)/((4-5)/10)

(9/10)/(-1/10)

(9/10) x (10/-1)

-9

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

Solution:

(x+y)+(x-y)

(5/4-1/3)/(5/4+1/3)

((5x3-1x4)/12)/((5×3 + 1x4)/12)

((15-4)/12)/((15+4)/12) (11/12)/(19/12)

(11/12)×(12/19)

11/19

(iv) x= 2/7, y= 4/3 Solution:

(x+y)+(x-y) (2/7+4/3)/(2/7-4/3)

((2x3

2x3+4x7)/21)/((2x3-4x7)/21)

((6+28)/21)/((6-281/21)

(34/21)/(-22/21)

(34/21) × (21/-22)

-34/22

-17/11

(v) x= 1/4, y= 3/2

Solution: (1/4+3/2)/(1/4-3/2) ((1x1 + 3×2)/4)/((1x1-3x2)/4)

(x+y)+(x+y)

((1+6)/4)/((1-6)/4) (7/4)/(-5/4)

(7/4) x (4/-5) = -7/5