196k views
5 votes
Kevin is solving the system of equations below using linear combination. Fill in the blanks for each question. Do not type any words or spaces. 2x - y = 10 4x - y = 5 1. What should Kevin multiply by if he wants to eliminate the y terms? 2. What should he multiply by if he wants to eliminate the x terms?

User ArunGJ
by
7.7k points

1 Answer

5 votes

We have two system of equations

2x - y = 10

4x - y = 5

This system of equations can be solve simultaneously using the elimination method.

For Kelvin to eliminate y, he needs to multiply both equation by 1 because the both have the same co- efficient

Therefore, the wquation becomes

2x * 1 - y*1 = 10* 1 ------

4x * 1 - y *1 = 5 * 1

2x - y = 10

4x - y = 10

For Kelvin to eliminate x, he needs to multiply equation 1 by 2 and equation 2 by 1. This is because the co-efficient of x in the second equation doubles the co-efficient of x in the first equation.

Therefore,

2x * 2 - 2 *y = 10*2

4x * 1 - 1* y = 5 * 1

4x - 2y = 20

User Orionis
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories