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