Question

Consider the system of linear equations. 5 x + 10 y = 15. 10 x + 3 y = 13 To use the linear combination method and addition to eliminate the x-terms, by which number should the first equation be multiplied?

Answer 1

Explanation:

5 x + 10 y = 15 (1)

10 x + 3 y = 13

We want to use the linear combination method and addition to eliminate the x-terms, so we want in the equation (1), there will be the term -10x. Then, we have to multiple both side of (1) by -2.

And we have

-10 x - 20 y = - 30

10 x + 3 y = 13

------------------- (add)

0 - 17y = -17

or y = 1 and x = 1