Question 158342
Solve the following using the elimination method.

5y - 3x = -20..........equation (1)

3x - 3y = 14...........equation (2)

solution:

first arrange te equation in the standard form(ax+by=c), ie x then y = and constant


-3x + 5y = -20   (arranging equation 1)
 3x - 3y = 14     (equation 2)


if you look at the two equations carefully you will notice there is -3x in equation 1 and 3x in equation 2 so if we add the two equations 3x and -3x will cancell each oter and we will be left with only "y". so let us do it

5y - 3y = -20 +14
2y = -6
y = -3

substitute this value in any equation and get te value of y. let us use equation 2

3x - 3(-3)=14
3x +  9 = 14
3x = 14 - 9
3x = 5
x = 5/3

Answer x = 5/3 and y = -3