Question

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.

Answer 1

Thanks in advance guys!!! :)

Answer 2

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?

Answer 3

Or substitution?

Answer 4

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

Answer 5

@dumbsearch2

Answer 6

Thank you so much!!! :)

Answer 7

Your AMAZING! :)

Answer 8

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

Answer 9

Or you could use matrices...

Answer 10

You could indeed

Answer 11

thank you! :)

Answer 12

so much for your help! :)

Answer 13

matrices? what dat? @Dido525

Answer 14

Never mind then :P . Wait till linear algebra.