solve the simultaneous equation: y= 6-2x and xy+x = 3

Question

Question for 5 marks. 

Answer 1

y = 6 - 2x

xy + x = 3

x(y+1) = 3

x = 3/(y+1)

y = 6 -2(3/y+1)      Multiply both sides of the equation by y+1.

y(y+1) = 6(y+1) - 6

y² + y = 6y + 6 - 6

y² - 5y = 0

y(y - 5) = 0

y = 0    or   y-5 = 0

                     y = 5

x = 3/(y+1)

x = 3/1 = 3

x = 3/(y+1) = 3/6

x = 1/2

(3,0) and (1/2,5)

 

Answer 2

1. y = 6 - 2x

2. xy + x = 3

 

x(6 - 2x) + x = 3

-2x² + 6x + x = 3

 

Can you solve for x and answer?