SOLUTION: Solve the following simultaneous equations: xy = x + 6 x � 2y = 2

Question 194209: Solve the following simultaneous equations:
xy = x + 6
x � 2y = 2

Answer by anantha(86) (Show Source): You can put this solution on YOUR website!
sol:xy=x+6 this is 1st equation
x-2y=2 this is 2nd equation
take 2nd equation
x-2y=2
adding 2y on both sides
x-2y+2y=2+2y
x=2+2y
substitute x value in 1st equation
xy=x+6
(2+2y)*y=2+2y+6
2*y+2*2y=8+2y
2y+4y=8+2y
6y=8+2y
subtracting 2y on both sides
6y-2y=8+2y-2y
4y=8
dividing 4 on both sides
4y/4=8/4
y=2
substitute this value in 2nd equation we get x value
x-2y=2
x-2*2=2
x-4=2
adding 4 on both sides
x-4+4=2+4
x=6
check these values satisfie the equation or not
take 2nd equation
x-2y=2
6-2*2=2
6-4=2
2=2
take 1st equation xy=x+6
6*2=6+6
12=12
these values satisfy both equations

RELATED QUESTIONS
Simultaneous equations - one linear, one quadratic Solve the following equations: xy (answered by epistrophy990,MathTherapy)

solve the following simultaneous equations using elimination method, x+2y+3=6... (answered by math_helper)

Please solve the simultaneous equations y^2+xy=2 x+y/2=3/2 Thank... (answered by ewatrrr)

Solve the simultaneous equations. log base 2 (xy) = 7 log base 2 (x^2/y) =... (answered by josgarithmetic)

Solve the following simultaneous equation 1) log8(xy) = 3 2) log2(x) * log2(y) =... (answered by Fombitz)

Solve the following pairs of simultaneous equations: X+2y=3,X-2y=3 Y=2�-1,Y=3x-2 (answered by josgarithmetic,ikleyn)

solve the following simultaneous equations 1;xy=21 (answered by Alan3354)

solve the simultaneous equations 3x-2y=12 x+3y=-7 (answered by mananth)

Solve the following two simultaneous equations using matrix method. {{{3(x) - (y) =... (answered by Alan3354)