## dumbsearch2 2 years ago Solve the following system using any method. 5x - 2y = -16 3x + 5y = -22 (7, 2) (-4,-2) (4, 6) No solution. The system is inconsistent. Infinite number of solutions. The system is dependent.

1. dumbsearch2

2. apple_pi

5x - 2y = -16 3x + 5y = -22 OK for this two ways, well actually 3. First, put in x and y into both equations and see if it works. Do you know elimination?

3. apple_pi

Or substitution?

4. apple_pi

Well... eliminate either x or y by making the values of them in both equations the same. So for this one, I will eliminate x. The LCM of 5 and 3 is 15. In both equations we want 15x. Multiply the first equation by 3, and the second by 5 to get: 15x - 6y = -48 15x + 25y = -110 Now Subtract one from the other: 15x - 6y - (15x + 25y) = -48 -(-110) -31y = 62 y = -2 Now substitute y = -2 into any of the first equations. I'll choose eq 1 3x + 5(-2) = -22 3x - 10 = -22 3x = -12 x = -4 And there you have it

5. apple_pi

@dumbsearch2

6. dumbsearch2

Thank you so much!!! :)

7. dumbsearch2

8. apple_pi

Your welcome. Do you know the other method? Substitution?

9. Dido525

Or you could use matrices...

10. apple_pi

You could indeed

11. dumbsearch2

thank you! :)

12. dumbsearch2

so much for your help! :)

13. dumbsearch2

matrices? what dat? @Dido525

14. Dido525

Never mind then :P . Wait till linear algebra.