3х + 2y= 13
xy= 2

Solve simultaneously

WHEN x=4 ,  y= or 0.5  (4,0.5)

WHEN x= ,  y=6   (,6)

Step-by-step explanation:

equation (1)  3x+2y=13

equation(2)  xy=2

step1: make x the subject of equation (1).

3x+2y=13

(subtract 2y for both sides)

3x=13-2y

(divide by 3 for both sides)

x=

step2: sub the value of x into the second equation.

xy=2

()y=2

(expand the bracket)

=2

(multiply by 3 for both sides)

y(13-2y)=6

(expand the bracket)

13y-2=6

(subtract 6 for both sides)

13y-2-6=0

(factorise the expression)

(-2y+1)(y-6)=0

step3: solve for y.

1.  -2y+1=0

-2y=-1

y= (the answer)

2.  y-6=0

y=6 (the answer)

step4: sub the values of y into one of the equations and solve for x.

1.xy=2

x(0.5)=2

(divide by 0.5 for both sides)

x=4 (the answer)

2. xy=2

x(6)=2

(divide by 6 for both sides)

x= (the answer)

55/i dont know i do it for the points

step-by-step explanation: