135k views
3 votes
Which of these describes the system of linear equations below? 3x - 2y = 7 6x - 4y = 14 The system has no solutions. The system has infinitely many solutions. The ratio of the x-coordinate to the y-coordinate of the only solution is 2:1. The difference between the x-coordinate and y-coordinate of the only solution is one.

Which of these describes the system of linear equations below? 3x - 2y = 7 6x - 4y-example-1

1 Answer

3 votes

We have two linear equations

3x - 2y = 7 -------- equation 1

6x - 4y = 14 -------- equation 2

These system linear equations can be solve simultaneously either by using the elimination method or substitution method

Let us try the elimination method

3x - 2y = 7

6x - 4y = 14

Firstly, let us eliminate x

To eliminate x , we need to make the value of x equal in both equations

To make the value of x equal, mulitply equation 1 by 2 and equation 2 by 1

3x * 2 - 2y * 2 = 7 x 2

6x * 1 - 4y * 1 = 14 x 1

6x - 4y = 14 -------- equation 3

6x - 4y = 14 ------- equation 4

To eliminate x, substract equation 4 from 3

6x - 6x -4y -(-4y) = 14 - 14

6x - 6x -4y + 4y = 14 - 14

0 - 0 = 0

0 = 0

From the above explanation, we can conclude that the system linear equations does not have a solution

The answer is OPTION A

User Kyle Macey
by
8.7k 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