8x + 14y = 24

Question

6x + 7y = 10
Solve for x & y

I tried multiple times but I just can't seem to get the right answer.

Answer 1

multiplying 2nd equation by 2
... 12x + 14y = 20

subtracting equations (to eliminate y)
... 4x = -4

solve for x, then substitute back to find y

Answer 2

I still don't understand sir

Answer 3

8x + 14y = 24
6x + 7y = 10

double the 2nd equation and you have

8x + 14y = 24
12x + 14y = 20

Now if you subtract the top from the bottom, the 14y cancels and you have

4x = -4
x = -1

Now use that in either original equation to find y:

8x+14y = 24
8(-1)+14y = 24
-8+14y = 24
14y = 32
y = 16/7

check to be sure that also works in the 2nd equation