Saved Bookmarks
| 1. |
2 ( a x - b y ) %2B ( a %2B 4 b ) = 0,2 ( b x %2B a y ) %2B ( b - 4 a ) = 0 |
|
Answer» It's a system of 2 linear equations in variables x & y & constant terms a & b which need to be solved simultaneously. According to my knowledge, one can't solve simultaneous equations by cross multiplication. I solve it by equating coefficients. You can write these equations like :2ax - 2by = -a-4b ..... (1)2bx + 2ay = 4a-b .........(2)Now, multiplying (1) by a & (2) by b,2a^2x - 2aby = -a^2 - 4ab ......(3)2b^2x + 2aby = -b^2 + 4ab .....(4)Adding (3) & (4),2 (a^2+b^2) x = -(a^2+b^2).Obviously,x = -1/2. y= 2 |
|