3x + 5y - 12 = 0, x - 3y + 10 = 0 in solve substitution
Answers
Answer:
3x + 5y = 20 equation 1
x + 3y = - 10 equation 2
multiple by equation 1 by 3
and equation 2 by 5
let's add equation 1 and 2
15x + 15y = 20
5x + 15y = -50
-. -. - substract
10x = 70
x =7
place x =7 in equation 1
3x (7) + 5y =20
21 + 5y = 20
5y = 20 - 21
5y = 1
y = 1
5
solution of x y is 7 , 1
5
3x + 5y = 12---------eqn1
And x - 3y = 10-----eqn2
From eqn2, we have
x - 3y =10
= x = 10 - 3y
Substituting x = 10 - 3y
3(10 - 3y)+ 5y = 12
30 - 9y + 5y = 12
30 - 14y = 12
14y = 12+30
14y = 42
y = 42/14 = 3
y = 3
Substituting y = 3 in eqn2
x = 10 - 3(3)
= x = 10 - 9
= x = -1
x = -1 and
y = 3