Question

What is the solution to the system of equations?

2x = 10 - y
-2y = 22 - 3x

hi, im not the best in math and i need help with this equation.Can you explain to me how we would solve this problem?.

Answer 1

2x = 10 - y
-2y = 22 - 3x

it is best to write the equations in this format
Ax+By=C

can you do that?

Answer 2

yes I can

Answer 3

do that and we can solve from there

Answer 4

so I st it up and got the equation 2X-y=10 and 3X-2y+=22

Answer 5

2x = 10 - y add y to both sides
2x+y=10

-2y = 22 - 3x and we are going to add 3x both sides
3x-2y=22

Answer 6

why do we have to add 'y' to both sides?

Answer 7

to get to the other side remember we are looking for this format

Ax+By=C

Answer 8

oh okay right

Answer 9

did you delete your post from earlier? I cant seem to find it.

Answer 10

its gone again?

Answer 11

did you mean the original problem?

Answer 12

2x = 10 - y
-2y = 22 - 3x
I copied and pasted it, this it what i got.

Answer 13

2x+y=10
y=10-2x

-2(10-2x) = 22 - 3x
-20 +4x = 22-3x
7x = 42
x=6

2(6)+y=10
12+y=10
y=-2

check these

i am sorry i made a mistake earlier

Answer 14

okay i will

Answer 15

2x = 10 - y ---> 2x + y = 10
-2y = 22 - 3x ---> 3x - 2y = 22

now we have :
2x + y = 10 --->(2)
3x - 2y = 22
------------
4x + 2y = 20 -- result of multiplying by 2
3x - 2y = 22
------------add
7x = 42
x = 6

now sub 6 in for x
2x + y = 10
2(6) + y = 10
12 + y = 10
y = 10 - 12
y = -2

check..
2x + y = 10
2(6) - 2 = 10
12 - 2 = 10
10 = 10 (correct)

I agree with zpupster :)

Answer 16

Thanks you guys,I understand know :)

Answer 17

good to hear...it is probably easier to use the substitution method like zpupster did. I used the elimination method. This is just another way to do it. You have to decide which way is easier for you to understand, and then do it that way.

Answer 18

yea true,thanks again,you were lots of help.

Answer 19

thats what we are here for...to help :)