Question

How do you solve systems of equations using elimination?

Answer 1

In elimination methods one of the coefficients of the given equations are made equal and then are added or subtracted to get the value x or y.

FOR EXAMPLE;

Let us take two equations;

x+ y= 2_____(i)

and, 2x- 3y= 5______(ii)

Now multiplying (i) equation by 2 and (ii) by 1 so as to obtain 2 with x coefficients.

x+ y= 2_____ × 2 ⇒ 2x+ 2y= 4

2x- 3y= 4____× 1 ⇒ 2x- 3y= 5

Now we will use elimination method..

2x+ 2y= 4

-2x- 3y= 5        (2x and 5 will become negative and -3y will become positive)

___________

-5y = -1

y= 1/5

Now put the value of y in (i) equation and u can obtain the value of x.