Solve the equation
3x-y=28
3x+y=14

  (x, y) = (7, -7)

Step-by-step explanation:

You can eliminate y by adding the two equations:

  (3x -y) +(3x +y) = (28) +(14)

  6x = 42 . . . . simplify

  x = 7 . . . . . . divide by 6

You can eliminate x by subtracting the two equations:

  (3x +y) -(3x -y) = (14) -(28)

  2y = -14 . . . . simplify

  y = -7 . . . . . . divide by 2

The solution is (x, y) = (7, -7).

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas