Question

X+y=5xy and 3x+2y=13xy

Answer 1

Please mark brainliest, i spent a lot of time on this

Let's solve for x.

3x+2y=13xy

Step 1: Add -13xy to both sides.

3x+2y+−13xy=13xy+−13xy

−13xy+3x+2y=0

Step 2: Add -2y to both sides.

−13xy+3x+2y+−2y=0+−2y

−13xy+3x=−2y

Step 3: Factor out variable x.

x(−13y+3)=−2y

Step 4: Divide both sides by -13y+3.

x(−13y+3)

−13y+3

=

−2y

−13y+3

x=

−2y

−13y+3

Let's solve for x.

x+y=5xy

Step 1: Add -5xy to both sides.

x+y+−5xy=5xy+−5xy

−5xy+x+y=0

Step 2: Add -y to both sides.

−5xy+x+y+−y=0+−y

−5xy+x=−y

Step 3: Factor out variable x.

x(−5y+1)=−y

Step 4: Divide both sides by -5y+1.

x(−5y+1)

−5y+1

=

−y

−5y+1

x=

−y

−5y+1

see the 2 answers below