Question

Find the number of positive integer solutions for 4÷x + 10÷y = 1​

Answer 1

Answer:

Step 1: Multiply both sides by xy.

10x+4y=xy

Step 2: Add -xy to both sides.

10x+4y+−xy=xy+−xy

−xy+10x+4y=0

Step 3: Add -4y to both sides.

−xy+10x+4y+−4y=0+−4y

−xy+10x=−4y

Step 4: Factor out variable x.

x(−y+10)=−4y

Step 5: Divide both sides by -y+10.

x(−y+10)

−y+10

=

−4y

−y+10

x=

−4y

−y+10

Answer:

x=

−4y

−y+10

Step-by-step explanation:

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