Could you answer this?

Question

Solve this Simultaneous equation: ( This is really easy.... I did it and was wondering who else can do it).

x+6y = 19
3x-y = 19

Show your working.

Answer 1

First you must recognize y from second equation:

-y=19-3x
y=3x-19

then you enter y into equation 1:
x+6(3x-19)=19
X+18X-114=19
19x=114+19
19x= 133
x=133/19
x= 7

now enter the x into second equation:

7*3-y=19
21-y=19
y=21-19
y=2

Very easy one
Regards,
Bendo

Answer 2

Here is the solution to the question:
x+6y=19-----(1)
3x-y=19------(2)

From (1),
x+6y=19
x=19-6y-----(3)

Substitute (3) into (2)
3x-y=19
3(19-6y)-y=19 *x=19-6y
57-18y-y=19
-19y=19-57
19y=38
y=2

Replace y=2 into (3)
x=19-6y
x=19-6(2) *y=2
x=1

Therefore, x=1 and y=2

Another solution,
(2)x6 18x-6y=114

Using elimination method,
x+6y=19
(+) 18x-6y=114
19x=133
x=7
Replace x=7 into (1)
x+6y=19
7+6y=19
6y=19-7
y=2
Therefore, x=7 and y=2

Conclusion: When y=2, x could be 1 or 7

I hope you will understand this two solution. Thanks for asking this question

Answer 3

x=7 and y=2

Answer 4

multiply the first equation by three , you obtain 3x + 18 y = 57 (1)

Now substract the second equation from (1)

you obtain 19 y = 38 and y=2

put this value in the first equation you obtain x =7


The answer x=7 y = 2

Answer 5

X + 6Y=19 X3
3X - Y= 19 X1

3X +18Y = 57
3X-Y =19
- + -
19Y= 38
Y=2

3X -2 = 19
3X = 21
X= 7
VERIFY:-
7(3) -2 = 19
21 - 2 =19
19 =19

Answer 6

oh..no...it is just a junior high school mathematic question

ok...let's change one of the equation with do times. in this case, i will do times second equation with 6, than totaling first equation with second modified equation, so:

x + 6y = 19
18x - 6y = 114
-------------------- +
19x = 133,
x = 7.

than add the x value to one of the equation, in this case, i will add in first equation, so:

7 + 6y = 19, we get:
y = 2.

so the final answer are:
x = 7;
y = 2.
................................................................................

Answer 7

x = 7
y = 2


7 + 6*2 = 19
3*7 - 2 = 19

QED

Answer 8

x + 6y = 19
3x - y = 19
3x+18y = 57
-3x + y = -19

...should be pretty straightforward from here.....

Answer 9

I could do it if i had time!

I can tell straight away that x is twice as much as y.

Seen as i am in college and are meant to be doing binary arithmetic i dont really have the time

Answer 10

I did it too. As you said, it's easy