Can you complete this question?
6x + 2y = 2
5x - 7y = 6 < Can you solve this?
It's the only GCSE algebra question I didn't get during my mock test! I honestly can't work it out.
P.s. Don't use internet :L
Really? Hmm... I'll post my working out, tell me where it's wrong.
(6x+2y=2) = (6x=2-2y)
Simplifying the second equation
(5x - 7y = 6) = (-7y = 6-5x )
Finding X and Y
5/7(1/3-1/3y)= 26/21y = 13/21
I would like to know where I have gone wrong, seeing as that took me a good 30 minutes to type up.
EDIT: Nevermind, I found it. What can I say, being careless with positives and negatives cost me an A in Maths -__-
DOUBLE EDIT: That should say A star, asterisks don't stand alone on CD
Rearrange 6x + 2y = 2
-> 2y = 2 - 6x
-> y = 1 - 3x
Substitute y = 1 - 3x into 5x - 7y = 6
-> 5x - 7(1-3x) = 5x - 7 + 21x = 6
-> 5x + 21x = 13
-> 26x = 13
-> x = 1/2
Substitute x = 1/2 into 6x + 2y
-> 3 + 2y = 2
-> 2y = -1
-> y = -1/2
Check by substituting x and y values into both original equations:
5(1/2) -7(-1/2) = 5/2 + 7/2 = 12/2 = 6 which is correct
6 (1/2) + 2(-1/2) = 6/2 - 2/2 = 3 - 1 = 2 which is correct
To complete this, multiply the first equation by 7 and the bottom equation by 2 so as the two y's will cancel out. You will then be left with 52x=26 (after the two equations were combined) which will lead to the sum.of x being .5. Fill x in one equation as .5 and solve. You should be left with y=-.5