1. ## Simultaneous equation

Hi guys would appreciate any help at geting to the correct answer step by step

2y=10 + x
y=3x + 5

The solution should be x=0 y=5

Thanks

2. Originally Posted by komodo
Hi guys would appreciate any help at geting to the correct answer step by step

2y=10 + x
y=3x + 5

The solution should be x=0 y=5

Thanks
What method are you using or is it your choice?

You can use graphing, Substitution, or Linear combinations.

3. Originally Posted by TheEmptySet
What method are you using or is it your choice?

You can use graphing, Substitution, or Linear combinations.
Personaly I'm using the manipulating method since I understand it better.

4. You won't get step by step solutions, but the substitution method is the most appropriate here, since you already know what y is in terms of x.

Substituting into the first equation gives 2(3x + 5) = 10 + x. Solve for x, then back-substitute and solve for y.

5. Originally Posted by Prove It
You won't get step by step solutions, but the substitution method is the most appropriate here, since you already know what y is in terms of x.

Substituting into the first equation gives 2(3x + 5) = 10 + x. Solve for x, then back-substitute and solve for y.
I dont understand if I'm supposed to multiply the 3 by the bracket then I get x=15/16 which is 0.9375 and this is not the right solution.

6. Why would you multiply by 3? It's telling you to multiply by 2...

7. Originally Posted by Prove It
Why would you multiply by 3? It's telling you to multiply by 2...
Yeah sorry I got mixed up with something else I'm looking at.....this is what I get for x after going through the different steps:

2(3x + 5) = 10 + x
= 6x + 10 = 10 + x
= 7x + 20
x = 20/7 = 2.86

Where am I going wrong since x is supposed to be 0 and Y=5 ????

Thanks

8. Originally Posted by komodo
Yeah sorry I got mixed up with something else I'm looking at.....this is what I get for x after going through the different steps:

2(3x + 5) = 10 + x
= 6x + 10 = 10 + x
6x + 10 = 10 + x

6x + 10 - 10 = 10 + x - 10

6x = x

Go from there.

-Dan

9. Originally Posted by topsquark
6x + 10 = 10 + x

6x + 10 - 10 = 10 + x - 10

6x = x

Go from there.

-Dan
Which clearly makes x = 0 and y = 5 ....Thanks Dan

I was under the impression that one must gather similar terms from the examples I've been looking through seems thats not the case here.

10. Originally Posted by komodo
Which clearly makes x = 0 and y = 5 ....Thanks Dan

I was under the impression that one must gather similar terms from the examples I've been looking through seems thats not the case here.
Well, if you want to look at it that way....
6x + 10 = 10 + x

6x + 10 - x - 10 = 0

5x = 0

-Dan

11. Dear komoda,
Did you rewrite 2y =10+x into y=1/2x + 5 Then what do you know about the solution without doing any calcs

12. Yeah I see where I messed up....thanks guys