Project ForgeEngineering Mathematics
Linear Algebra
GATE 2016
Easy
The solution to the system of equations 2x + 5y = 2 and -4x + 3y = -30 is
- A6, 2
- B-6, 2
- C-6, -2
- 6, -2
Explanation
From 2x+5y=2, x=(2-5y)/2. Substituting into -4x+3y=-30: -2(2-5y)+3y=-30 → -4+13y=-30 → y=-2. Then x=(2-5(-2))/2=6. So (x,y)=(6,-2).
Source: GATE ME 2016 Set-1 (2016)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.