5x-y=5
3x+2y=29
solve the simultaneous linear equation by using substution method

(3,10)

Explanation:

1. 5x - y = 5 change this eqaution, mainly because it's easier

1. b. y = -5 + 5x substitute this for y

2. 3x + 2y = 29

3x + 2(-5+5x) = 29

3x -10 + 10x = 29

13x - 10 = 29

+ 10 +10

13x = 39

divide by 13 on both sides

x = 3

put x back in the second equation

5 (3) - y = 5

15 - y = 5

-15 -15

-y = -10

divide the negative

y = 10

check it...

3 (3) + 2 (10) = 29

9 +20

= 29 it is checked and correct

we can solve this via the kinematic equation:

where the vertical velocity is zero and so:

since the height of the building is 29.3 meters then:

the ball was in motion for approximately 2.45 seconds

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