x = 2y
1/x + 1/y = 3/10
Since we have a value for x, let's plug it into the second equation.
1/2y + 1/y = 3/10
Now, let's make the denominators equal.
Multiply the second term by 2.
1/2y + 2/2y = 3/10
Multiply the final term by 0.2y
1/2y + 2/2y = 0.6y/2y
Compare numerators after adding.
3 = 0.6y
Divide both sides by 0.6
y = 5
Now that we have the value of the second integer, we can find the first.
x = 2y
x = 2(5)
x = 10
Let's plug in these values in our equations to verify.
10 = 2(5) √ this is true
1/10 + 1/5 = 3/10 √ this is true
The first integer is equal to 10, and the second is equal to 5.