Question

If x=3 and y = ─ 4 , find i) (x─y) ─ y ii) ( x+y) +x 2. Write two pairs of numbers satisfying the equation xꓥ2 + yꓥ2 = 25

Answer 1

i) (x -y) -y = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation x² + y² = 25

Explanation:

Step(i):-

Given that x =3 and y=-4

i) (x -y) -y = (3-(-4))-(-4) = 3+4+4 = 11

ii) (x+y) + x² = ( 3 -4) + (3)² = -1 + 9 = 8

Step(ii):-

Given equation

x² + y² = 25

we can choose (x,y) = ( 3 , -4)

3²+(-4)² = 25

25 = 25

The ordered pair ( 3,-4) satisfies the equation

second ordered pair ( 3 ,4)

x² + y² = 25

9 + 16 = 25

25 = 25

Final answer:-

i) (x -y) -y = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation x² + y² = 25