76.9k views
0 votes
The difference of the product of 10 and x and the product of 6 and y is -8. The sum of the product of -5 and x and the product of 3 and y is -1. What are the values of x and y

User Refti
by
5.0k points

1 Answer

3 votes

Answer: there are no solutions

Explanation:

The difference of the product of 10 and x and the product of 6 and y is -8. This would be expressed as

10x - 6y = - 8- - - - - - - - - - - - - -1

The sum of the product of -5 and x and the product of 3 and y is -1. This would be expressed as

- 5x + 3y = - 1 - - - - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 5 and equation 2 by 10, it becomes

50x - 30y = - 40

- 50x + 30y = - 10

Adding both equations, it becomes

0x + 0y = - 50

Therefore, there is no solution.

User Ben Avery
by
5.6k points