Question

solve this system of equations by using the substitution method  5x-3y=-11  (1) and 3x+22y=1  (2).

Answer 1

Substitution method :

The equations are

5x  - 3y = - 11   ---------> (1)

3x + 22y = 1     ---------> (2)

Solve for x from (2)

3x = 1 - 22y

x = (1 - 22y)/3   ---------> (3)

Substitute x value in (1).

5[(1 - 22y)/3]  - 3y = - 11

(5 - 110y - 9y)/3 = - 11

5 - 110y - 9y = - 33

5 - 119y = - 33

119y = 38

y = 38/119

⇒ y = 38/119.

Substitute y value in (3).

x = (1 - 22(38/119))/3 = - 239/119

⇒ x = - 239/119.

Solution of the system is x = - 239/119 and y = 38/119.