Solve for x and y: 3x + 2y = 11 and 2x + 3y = 4. Also find p if p = 8x + 5y
3x+2y=11 ...(i)
2x+3y =4 ...(ii)
multiplying eq.(i) by 2 and eq(ii) by 3, we get
6x+4y=22 ...(iii)
6x+9y=12 ...(iv)
subtracting eq(iv) from eq.(iii). we get
-5y=10 or y=-2
putting in eq.(iii)
6x+4y=22
6x+4(-2)=22
6x=30 or x=5 and y=-2
p=8x+5y
=(8×5)+(5×-2)
=40-10
p=30