Question

3x + 8y = 4 & 2x - 3y = 11 by substitution method.​

Answer 1

Answer :

y = -1, x = 4

Solution :

Given,

Equations :

3x + 8y = 4 ------ equation 1

2x - 3y = 11 ------ equation 2

Consider equation 2

2x - 3y = 11

2x = 11 + 3y

x = (11 + 3y)/2 ------ equation 3

Substitute this in equation 1

3x + 8y = 4

3(11 + 3y/2) + 8y = 4

33 + 9y + 16y = 8

33 + 25y = 8

25y = - 25

y = -1

Now, consider equation 3

x = 11 + 3y/2

x = 11 - 3/2

x = 8/2

x = 4

Therefore, x = 4, y = -1