Question

Need help showing check.

I've solved these two problems, if you can show me the work for how to check please.


2) 2x-3y=16
-3x+2y=-19
x=5, y=-2, Show check please

Answer 1

@johnweldon1993

Answer 2

Show how to check it? okay...well you got the answers that x = 5 and y = -2 so to check...all you do is plug those back into the original equations.

2x - 3y = 16
-3x + 2y = -19

Replace all the 'x' you see with 5 and then all the 'y' you see with -2

2(5) - 3(-2) = 16
10 - (-6) = 16
10 + 6 = 16
16 = 16 <--- so this is correct

-3(5) + 2(-2) = -19
-15 + (-4) = -19
-15 - 4 = -19
-19 = -19 <--- this is also correct...and that is your check

Answer 3

Hope that helps :)

Answer 4

-3x+y=-2
-2x+3y=15
x=3, y=7

Can you show me the work for how to solve for y? This is what I did for X
-3x+y=-2
y=3x-2
-2x+3y=15
-2x+3(3x-2)=15
7x=21
x=3

Answer 5

Alright...to solve for 'y' you can either just plug in x = 3 into one of the original equations...or you can do that whole process again for 'y'

if you want the latter...it would be

-3x+y=-2
-2x+3y=15

Lets solve the top on for 'x'

-3x + y = -2
-3x = -2 - y
x = 2/3 + y/3

Now plug that into the second equation for 'x'

-2x + 3y = 15
-2(2/3 + y/3) + 3y = 15
-4/3 - 2y/3 + 3y = 15
Lets multiply everything by 3 to make this easier

-4 - 2y + 9y = 45

-4 + 7y = 45

Add 4 to both sides

7y = 49

Divide both sides by 7

y = 7

Answer 6

Yes it does, thank you so much for your help!

Answer 7

Anytime! :)