Question

Justin is asked to solve the following system of linear equations using the elimination method.

Answer 1

Alright, lets get started.

Justin is asked to solve the linear equations using elimination method.

By using elimination method means we have to multiply some numbers in our given equations in such a way that the co-efficient of x or y become same in both equations so that we could add or subtract them to cancel one of the term either x or y.

So, given equations are :

$5x - 12 = 3$

$-20x + 14 y = 13$

See we have 5x in first equation and -20x in second equation.

So, we try to change 5x into 20 x by multiplying it with 4, both of the equations will have 20 x in common

Lets multiply 4 in first equation

$4 * (5x-12y) = 4 * 3$

$20x - 48y = 12$

Now both equations could be added and 20 x will be cancelled out and we could easily find the value of y then solve for x.

So, Justin should try to change 5 so that it will be cancels, so option B  :  Answer

Hope it will help :)