Question

Solve the following simultaneous equations using an algebraic (not graphical) method.

3x - 2y = 14
7x + 3y = 25

Answer 1

x=4

y= -1

Explanation:

(3x-2y=14)×3

(7x+3y=25)×2

9x-6y= 42

14x + 6y =50

9x-42=6y

-14x+50=6y

9x-42= -14x+50

23x = 92

x=4

3(4)-2y=14

12-2y =14

-2y=2

y= -1