5x + y =22 3x + y= 12 solve by elimination steps

(5, -3)

Step-by-step explanation:

Elimination is also sometimes called 'subtraction' method

Subtract the second equation form the first equation...

  5x + y = 22

-

  3x + y = 12

The result is

 2x = 10        (5x - 3x = 2x, y - y = 0, 22 - 12 = 10)

Now solve for x...

  x = 5          (divide by 2 on both sides)

Now that we know x = 5, plug that into either equation to solve for y...

5(5) + y = 22

  25 + y = 22

        y = -3

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

$15 each

step-by-step explanation:

$45/3 children= $15 each